Answer:
(0,-5) , (3, -6) , (6, -7) ,(9, -8)
Step-by-step explanation:
I apologize for being unable to graph, but here are some of the points.
(0,-5) <-- The "y intercept"
slope is y2-y1/x2-x1, so "-1" is added to the "y" of the coordinate, and 3 is added to the "x"
(3,-6)
(6,-7)
(9,-8)
Hope this helps :)
An employee who earns $12/hour, worked 37 hours this week, is paid a commission of $40 for each sale, and makes 9 sales during the same week, has earned total commissions of $ .
The total commission that's earned will be $360.
How to illustrate the expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
In this case, an employee who earns $12/hour, worked 37 hours this week, is paid a commission of $40 for each sale, and makes 9 sales during the same week. Employees receive commission, also referred to as a sales commission, based on the sales they generate. A sales commission is a payment made to an employee after they successfully complete a task, typically selling a predetermined volume of goods or services. Sales commissions are a common incentive used by employers to boost employee productivity. A commission can be paid instead of or in addition to a salary.
The total commissions will be:
= Amount of commission × Number of sales
= $40 × 9
= $360
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Factor the polynomial, 3x^2+x-10
[tex]3x^2+x-10=\boxed{(x+2)(3x-5)}[/tex]
is the point (-5, 1) on the line y=-2x-9
Answer:
No
Step-by-step explanation:
1 = 2(-5) - 9
1 = -10 - 9
1 ≠ -19, therefore that point does not lie on the line
Use the image to answer the question.
What is the surface area of the figure in square centimeters?
Enter your answer as a number, like this: 42
Answer:
66 [tex]cm^{2}[/tex]
Step-by-step explanation:
Front: 6 x 5 = 30
Back: 6 x 4 = 24
Left side: 1/2 (3 x 4) =6
Right side: 1/2 ( 3 x 4) 6
Add
30 + 24 + 6 + 6 = 66
Someone please help me I’m dying hereThank you so muchhh!
By using the formula for area of rectangle, it can be calculated that-
a) Expression for total area = [tex]6^2 + 2 \times 6 + 24[/tex]
Total area = 72 square inches
b) Length of the figure = 9 inches
Breadth of the figure = 8 inches
What is area of a rectangle?
Area of a rectangle is the total space taken by the rectangle.
If l is the length of the rectangle and b is the breadth of the rectangle, then area of the rectangle is calculated by
Area = l [tex]\times[/tex] b
Side of the square = 6 inches
Area of the square = [tex]6^2[/tex] square inches
Length of white rectangle = 2 inches
Breadth of white rectangle = 6 inches
Area of white rectangle = [tex]2 \times 6 =[/tex] 12 square inches
Area of blue rectangle = 24 square inches
Total area = [tex]6^2 + 2 \times 6 + 24[/tex] =
36 + 12 + 24 =
72 sq. inches
b) Let the breadth of the blue rectangle be b inches
Length of the blue rectangle = 2 + 6 = 8 inches
Total area = 8b square inches
By the problem,
[tex]8b = 24 \\b = \frac{24}{8}\\[/tex]
b = 3 inches
Length of the figure = 6 + 3 = 9 inches
Breadth of the figure = 2 + 6 = 8 inches
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Work out the volume of this half-cylinder.
Give your answer in terms of π.
The diagram is not drawn to scale.
Answer:
Vhc = 401.92 cm3
Step-by-step explanation:
Vcylender = Pi*r2*h
Vhalfcyldr = (Pi*r2*h)/2
then
h= 16cm
r = 8cm/2 = 4cm
then
Vhalfcylinder = ((3.14)*(4)2*16) / 2
Vhc = 401.92 cm3
what times 7 equals 3.5
Answer:
Step-by-step explanation:
Answer 2
You would divide 7 by 3.5 and you get 2 If the equation was what times 3.5 =7
Kiki painted 15 of her bookshelf on Monday and 56 of her bookshelf on Tuesday. She says she has painted 611 of her bookshelf.
what are we supposed to be solving
Answer:
Step-by-step explanation:
duh
Determine whether AGHI and AJKL with the given vertices are similar. Use transformations to explain your reasoning.
G(-2, 3), H(4, 3), I(4, 0) and J(1, 0), K(6.-2), L(1, -2)
A resemblance While retaining shape, metamorphosis can alter both location and size.
What is the connection between transformations and similar figures?When the sides of two figures are proportionate and the accompanying angles are congruent, the figures are said to be comparable.
Get the two triangles to face in the same direction, or in the same orientation, to check if they resemble one another. You accomplish this by turning one shape so that it is in alignment with the other. A rotation is the name given to such a change.
Similarity refers to two figures that share the same shape but differ in size. A rigid motion and a rescaling make up a similarity transformation. To put it another way, a similarity transformation may change both location and size while maintaining shape.
Let the given points be G(-2, 3), H(4, 3), I(4, 0) and J(1, 0), K(6.-2), L(1, -2).
A resemblance While retaining shape, metamorphosis can alter both location and size.
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Answer:
not similar
Step-by-step explanation:
You want to know if ∆GHI ~ ∆JKL when they are defined by coordinates G(-2, 3), H(4, 3), I(4, 0) and J(1, 0), K(6.-2), L(1, -2).
Similar trianglesCorresponding angles of similar triangles are congruent, and corresponding sides are proportional.
Here, angle G is an acute angle less than 45°, while corresponding angle J is an acute angle greater than 45°. These corresponding angles in the similarity statement are not congruent, so the similarity statement is false.
__
Additional comment
Side ratios in ∆GHI are 3 : 6 : 3√5 = 1 : 2 : √5.
Side ratios in ∆JKL are 2 : 5 : √29.
For comparison purposes, we like to list them shortest to longest.
These ratios are different, so even if the order of the vertices were straightened out, the triangles still would not be similar. If the triangles had the same side length ratios, the vertex order for a proper similarity statement would be ∆GHI ~ ∆KLJ.
This season, the probability that the Yankees will win a game a is 0.53 and the
probability that the Yankees will
score 5 or more runs in a game is 0.48. The
probability that the Yankees win and score
and score 5 or more runs is 0.42. What is the
probability that the Yankees will lose when they score 5 or more runs? Round
your answer to the nearest thousandth.
The probability that the Yankees will lose when they score 5 or more runs is equal to 0.2766.
What is Conditional Probability?
Conditional probability, or P(A/B), denotes the likelihood of event A that is dependent on event B.The chance of an event occurring given that another event has already occurred (via assumption, supposition, assertion, or evidence) is known as conditional probability in the field of probability theory.This particular approach assumes that event B occurs in some way related to event A. A conditional probability analysis with respect to event B in this scenario can be performed.The conditional probability formula is given as, [tex]P(M/N)=\frac{P(M\cap N)}{P(N)}[/tex]From the question, we know that the probability that the Yankees will win a game is 0.53.
[tex]\implies P(W)=0.53[/tex]
Also, then the probability that the Yankees will lose a game is given as,
[tex]P(L)=1-P(W)\\\implies P(L)=1-0.53\\\implies P(L)=0.47[/tex]
It is also given that, the probability that the Yankees will score 5 or more runs is 0.48.
[tex]\implies P(A)=0.48[/tex] -----(1)
So, the probability that the Yankees will score less than 5 runs is,
[tex]P(S)=1-P(A)\\\implies P(S)=1-0.5\\\implies P(S)=0.5[/tex]------(2)
We also know the probability that the Yankees will win and score 5 or more runs is 0.42.
[tex]\implies P(B)=0.42[/tex]
Also, then the probability that the Yankees will lose or score less than 5 runs is given as,
[tex]P(C)=1-P(B)\\\implies P(C)=1-0.42\\\implies P(C)=0.58[/tex]
Next, the probability that the Yankees will lose and score less than 5 runs is,
[tex]P(D)=0.42+0.5-0.58\\\implies P(D)=0.34[/tex]
Now, the required probability is the probability that the Yankees will lose and score 5 or more runs.
It can be calculated using the conditional probability formula, [tex]P(M/N)=\frac{P(M\cap N)}{P(N)}[/tex]
So, the required probability that the Yankees will lose and score 5 or more runs is given as,
P(they score 5 or more runs / probability that they lose game) = P(they lose and score 5 or more runs) / P(they lose the game)
[tex]\implies P(E)=\frac{0.47-0.38}{0.47} \\\implies P(E)=0.2766[/tex]
Therefore, the probability that the Yankees will lose when they score 5 or more runs is equal to 0.2766.
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a crate contains bags of basmati rice Which weigh 5 lb each and bags of jasmine rice which weigh 3 pounds each there are 20 bags in the crate the total, weight not counting the crate itself is 76 pounds. How many bags of basmati rice are there?
There are 8 bags of basmati rice are there if a crate contains bags of basmati rice Which weigh 5 lb each and bags of jasmine rice.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
a crate contains bags of basmati rice Which weigh 5 lb each and bags of jasmine rice which weigh 3 pounds each.
The equation can be framed:
x + y = 20
5x + 3y = 76
After solving
By substitution method:
we get:
y = 12
x = 20 - 12 = 8
Thus, there are 8 bags of basmati rice are there if a crate contains bags of basmati rice Which weigh 5 lb each, and bags of jasmine rice.
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write each decimal as a fraction or mixed number in simplest form
1.-0.14
2.0.27
Write each decimal as a fraction or mixed number in simplest form
-0.14
= -14/100
= -7/50
_________________________
0.27
= 27/100
The quadrilateral ABCD is a parallelogram if pairs of consecutive angles are supplementary. Given the angle measures, prove that quadrilateral ABCD is a parallelogram by finding the value of x. ∠A = 120 − 2x ∠B = 70 + x ∠C = 105 − x2 ∠D = 40 + 4x
The value of x from the parallelogram ABCD is 10.
What is parallelogram?A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.
Given that, ∠A=120-2x, ∠B=70+x, ∠C=105-x² and ∠D=40+4x.
The quadrilateral ABCD is a parallelogram if pairs of consecutive angles are supplementary.
Here, ∠A and ∠D are consecutive angles
Now, 120-2x+40+4x=180
⇒ 160+2x=180
⇒ 2x=20
⇒ x=10
So, ∠A=120-2x=100, ∠B=70+x=80, ∠C=160-6x=100 and ∠D=40+4x=80
Therefore, the value of x is 10.
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"Your question is incomplete, probably the complete question/missing part is:"
The quadrilateral ABCD is a parallelogram if pairs of consecutive angles are supplementary. Given the angle measures, prove that quadrilateral ABCD is a parallelogram by finding the value of x. ∠A=120-2x, ∠B=70+x, ∠C=160-6x and ∠D=40+4x.
Find the missing length indicated.
Answer:
hope it help
the last answer is 6
I showed you step by step. for any explanation write it in the comment
I need help I don’t know what to do can someone help me?
Answer:
Below
Step-by-step explanation:
These are both equations of lines.....one has slope =6 and the other has slope = 4 so they will cross at ONE point
PLEASE HELPPP ASAP I REALLY NEED MATH HELPPPP
The graph of the odd-degree polynomial reaches positive and negative infinity.
What is the end behavior of a polynomial?A polynomial function's final behavior is how its graph behaves as x gets closer to positive or negative infinity.
The graph's final behavior is determined by a polynomial function's degree and leading coefficient.
The given polynomial is shifted towards the left it reaches negative infinity quicker than positive infinity.
Also, the graph of the polynomial is of odd degree as it is symmetric about the origin shifted towards left.
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Question Solve 6=t/5
Answer:
30=t i think
Step-by-step explanation:
So basically what you do is since it is division you would multiply 5 by its self and you multiply on the other side because if you do something on one side you have to do it on another so that would leave you with 30=t
When writing 2–√5
2
5
as 2n
2
n
, which statement is true about the value of n
n
?
Responses
The value of n
n
is 15
1
5
because (2–√5)5=21
(
2
5
)
5
=
2
1
and (21/5)5=21
(
2
1
/
5
)
5
=
2
1
, so 2–√5=21/5
2
5
=
2
1
/
5
.
The value of n is 1 5 because ( 2 5 ) 5 = 2 1 and ( 2 1 / 5 ) 5 = 2 1 , so 2 5 = 2 1 / 5 .
The value of n
n
is 15
1
5
because (2–√5)5=21
(
2
5
)
5
=
2
1
and (21/5)5=20
(
2
1
/
5
)
5
=
2
0
, so 2–√5=21/5
2
5
=
2
1
/
5
.
The value of n is 1 5 because ( 2 5 ) 5 = 2 1 and ( 2 1 / 5 ) 5 = 2 0 , so 2 5 = 2 1 / 5 .
The value of n
n
is −5
−
5
because (2–√5)5=21
(
2
5
)
5
=
2
1
and (2−5)5=21
(
2
−
5
)
5
=
2
1
, so 2–√5=2−5
2
5
=
2
−
5
.
The value of n is − − 5 because ( 2 5 ) 5 = 2 1 and ( 2 − − 5 ) 5 = 2 1 , so 2 5 = 2 − − 5 .
The value of n
n
is −5
−
5
because (2–√5)5=21
(
2
5
)
5
=
2
1
and (2−5)5=20
(
2
−
5
)
5
=
2
0
, so 2–√5=2−5
2
5
=
2
−
5
.
The value of n is − − 5 because ( 2 5 ) 5 = 2 1 and ( 2 − − 5 ) 5 = 2 0 , so 2 5 = 2 − − 5 .
The true statement about n is (a) The value of n is 1/5 because (⁵√2)⁵ = 2¹ and (2¹/⁵)⁵ = 1, so ⁵√2 = 2¹/⁵
How to determine the true statement about n?From the question, we have the following parameters that can be used in our computation:
Expression = ⁵√2
Also from the question, we understand that the expression is to be expressed as
2ⁿ
This means that
⁵√2 = 2ⁿ
Re-express ⁵√2 using the law of indices
2ⁿ = 2¹/⁵
By comparison, we have
n = 1/5
This means that the value of n is 1/5
Hence, the true statement is (a)
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Answer:
1236
Step-by-step explanation:
I AM ON A TEST HELP WHAT IS THE MAXIMUM OR MINIMUM VALUE AND WHAT ARE THE COORDINATES OF THE VERTEX y=2x^2+12x+5
The parabola's vertex is (-3/2, -22). Because this is the lowest point on the parabola, the function's minimum value is -22.
To determine the maximum or minimum value of the quadratic function y = 2x² + 12x + 5, you need to find the vertex of the parabola formed by this function.
To find the vertex of the parabola, you can use the formula x = -b / (2a), where x is the x-coordinate of the vertex, a is the coefficient of the x² term, and b is the coefficient of the x term.
In this case, the coefficient of the x² term is 2, and the coefficient of the x term is 12. Therefore, the x-coordinate of the vertex is x = -12 / (2×2) = -6 / 4 = -3/2.
To find the y-coordinate of the vertex, you can substitute the x-coordinate back into the original equation:
y = 2(-3/2)² + 12(-3/2) + 5 = 2(-9/4) + (-18) + 5 = -9 + (-18) + 5 = -22.
Therefore, the vertex of the parabola is (-3/2, -22). This is the lowest point on the parabola, so the minimum value of the function is -22.
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RECALL
Set 4: Given the center and a point on the circle.
Distance Formula
13. center. (9, 10),
point on circle: (7,4)
15. center: (2,-6),
point on circle: (1,10)
Midpoint Formula
14. center: (1.-5),
point on circle: (-7.-13)
16. center: (-2, 0),
point on circle: (-9,-4)
Distance is the measure from one point to another point. Given, any two points distance is [tex]\sqrt{(x1-x2)^{2} }+\sqrt{(y1-y2)^{2} }[/tex].
Define Midpoint.Midpoint is the mid-value of two points.
Midpoint = [ x₁+x₂/2 , y₁+y₂/2]
So, for the given centre (9, 10) and point on circle(7,4)
Centre = [tex]\sqrt{}[/tex](9-7)²+(10-4)²
= [tex]\sqrt{}[/tex]4+36
= 6.32
For the given centre (2,-6) and point on circle (1,10)
Centre = [tex]\sqrt{}[/tex](2-1)²+(-6-10)²
=[tex]\sqrt{}[/tex]1+256
=16.03
For given centre (1,-5) and point on circle(-7,-13)
Midpoint = [ 1-7/2 , -5-13/2]
= [-3, -9]
For given centre(-2,0) and point on circle(-9,-4)
Midpoint = [-2-9/2 , 0-4/2]
= [-5.5,-2]
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Given, center (9,10) and point on circle is (7,4) distance is 6.32. And center (2,-6) and point on circle (1,10) distance is 16.03.
Given center (1, -5) and point of circle(-7,-13) midpoint is (-3,-9). And center (-2,0) and point on circle (-9,-4) midpoint is (-5.5,-2).
What is Distance and midpoint?Distance is the measure from one point to another point. Given, any two points distance is -
[tex]\sqrt{x_1^2-x_2^2} +\sqrt{y_1^2-y_2^2}[/tex]
Midpoint is the mid-value of two points. Midpoint = [(x₁+x₂)/2, (y₁+y₂)/2]
So, for the given center (9, 10) and point on circle(7,4)
Center = (9-7)²+(10-4)²
= 4+36
= 6.32
For the given center (2,-6) and point on circle (1,10)
Center = (2-1)²+(-6-10)²
= 1+256
= 16.03
For given center (1,-5) and point on circle(-7,-13)
Midpoint = [ 1-7/2 , -5-13/2]
= [-3, -9]
For given center (-2,0) and point on circle(-9,-4)
Midpoint = [-2-9/2,0-4/2]
= [-5.5,-2]
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Find the 15th term in the geometric sequence 20,10,5,2.5
The 15th term of the given geometric sequence will be (C) 5/4096.
What is a geometric sequence?Mathematicians refer to a succession of non-zero numbers as a geometric progression or geometric sequence.
Each term after the first is derived by multiplying the previous term by a fixed, non-zero value called the common ratio.
So, the geometric sequence will be:
nth term formula: aₙ = a₁rⁿ⁻¹
Now, insert the values and calculate as follows:
aₙ = a₁rⁿ⁻¹
a₁₅ = 20(1/2)¹⁵⁻¹
a₁₅ = 20(1/2)¹⁴
a₁₅ = 20(1/16384)
a₁₅ = 20/16384
a₁₅ = 5/4096
Therefore, the 15th term of the given geometric sequence will be (C) 5/4096.
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Complete question:
Find the 15th term in the geometric sequence below. 20, 10, 5, 2.5, . . .
A.-25/4,096
B.-5/4,096
C.5/4,096
D.25/4,096
Graph the following features:
•Slope = 4/5
•y- intercept = 1
An equation of a line with slope(m) = 4/5 and y-intercept(b) = 1 can be formed as y = (4/5)x + 1.
What is the slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.
An equation of a line in slope-intercept form with slope(m) = 4/5 and
y-intercept(b) = 1 can be formed as y = (4/5)x + 1.
The graph of this line is attached below.
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Please help me. Any answers help
Answer:
unexplainable
Step-by-step explanation:
does not make since
Sam invests $ 4500 into an account earning 7.25% interest compounded quarterly. How long will it take to double his money?
Doubling time in years =
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \stackrel{doubled}{\$9000}\\ P=\textit{original amount deposited}\dotfill &\$4500\\ r=rate\to 7.25\%\to \frac{7.25}{100}\dotfill &0.0725\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years \end{cases}[/tex]
[tex]9000=4500\left(1+\frac{0.0725}{4}\right)^{4\cdot t} \implies \cfrac{9000}{4500}=\left(1+\frac{0.0725}{4}\right)^{4\cdot t} \\\\\\ 2=1.018125^{4t}\implies \log(2)=\log(1.018125^{4t})\implies \log(2)=t\log(1.018125^{4}) \\\\\\ \cfrac{\log(2)}{\log(1.018125^{4})}=t\implies 9.65\approx t\qquad \textit{about 9 years and 8 months}[/tex]
Write the equation of the line that passes through (7,-4) and (-1,-2) in slope intercept form
4. What is the area of the triangle shown on the graph below?
(1) 10
(2) 11
(3) 14
(4) 25
Answer:
Step-by-step explanation:
The area of each triangle is one-half the area of the rectangle. So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.
The graph represents the journey of a bus from the bus stop to different locations:
Part A: Use complete sentences to describe the motion of the bus in parts 1,2,3,4, and 5 of the journey. (4 points)
Part B: In which parts of the graph is the function increasing, decreasing, and constant? (4 points)
Part C: Is the graph linear or non-linear? Explain your answer. (2 points)
Answer:
Step-by-step explanation:
Part A:
For number 1, the bus drives non-linear. It is not a constant rate but it is increasing.
For number 2, the bus is at a stopping point.
For number 3, the bus drives in a non-linear rate but it still increasing.
For number 4, the bus is at its last stop, the middle of the bus ride, the peak of the time.
For number 5, the bus comes to a non-linear decrease in the route. and eventually the end.
Part B:
The bus is increasing in numbers 1 and 3, and decreasing for number 5, and at a constant at numbers 2 and 4.
Part C:
The graph is non-linear, as the slope is not at a constant.
Answer:
Sorry i don't know. But i think this is a good priblem
An object placed on a conveyor belt can move 9 feet every 18 seconds.
Plot two points that represent the distance an object would travel in different amounts of time at that rate.
Select two points on the coordinate grid. A line will connect the points.
A graph of the two (2) points (-0.5, 0) and (9, 0) that represent the distance which this object would travel in different amounts of time at that rate is shown in the image attached below.
How to write a linear function for the distance and time?Mathematically, a linear function is sometimes referred to as the slope-intercept form of a straight line and it can be modeled (represented) by this mathematical expression;
d = mt + b
Where:
d represents the distance.t represents the rate of change (slope).b represents the y-intercept.Therefore, the required linear function that relates the distance (d) and speed (s) at time (t) seconds is given by this mathematical expression;
d(t) = 18t + 9
For instance when time (t) = -0.5 seconds, the distance traveled by this object placed on a conveyor belt is given by;
d(t) = 18t + 9
d(-0.5) = 18(-0.5) + 9
d(-0.5) = -9 + 9
d(-0.5) = 0 feet.
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Help me pls thank u
The value of slope for line equation 1 is -5/2. The value of slope for line equation 2 is 5/3.
What is slope?A line's steepness may be determined by looking at its slope. Slope is computed mathematically as "rise over run" (change in y divided by change in x). The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. B is the b in the location where the y-intercept is located (0, b). For instance, the slope and y-intercept of the equation y = 3x - 7 are 3 and 0, respectively.
Here,
y=mx+c
where m is slope.
line equation 1,
y=-5/2x-5
m=-5/2
line equation 2,
y=5/3x
m=5/3
For line equation 1, the slope is equal to -5/2. For line equation 2, the slope is equal to 5/3.
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From question 28 -29
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