What is the slope of the line that passes through (-4, 5) and (2, -3)?

Answers

Answer 1

Answer:

[tex]m=\frac{-4}{3}[/tex]

[tex]y=\frac{-4}{3}x -\frac{1}{3}[/tex]

Step-by-step explanation:

Use the Slope formula...

[tex]\frac{-3-5}{2-(-4)}[/tex]

[tex]\frac{-8}{6} = \frac{-4}{3}\\\frac{-4}{3} = m[/tex]

Plug the slope into the Point-Slope formula...

[tex]y -(5) = \frac{-4}{3}(x-(-4)) \\y+5=\frac{-4}{3}x +\frac{-16}{3}\\y=\frac{-4}{3}x +\frac{-1}{3}[/tex]


Related Questions

Which function represents the graph below?

Answers

Answer:

b

Step-by-step explanation:

Since it intercepts y at 4, and x at 2, we use y=ax+b and rearrange to get the equation from y=2x+4 to 2x-y=-4

Answer:

b) 2x - y = -4

Step-by-step explanation:

The y-intercept is the y-coordinate of the point (0, b) where the graph crosses the y-axis. It is also the value of y when x = 0.

The crosses the y-axis at point (0, 4). Therefore, the y-intercept, b = 4.

Next, we need to determine which of the given options matches the graph.  It helps to transform each of them into their slope-intercept form, y = mx +b:

a) 2x + y = 4

2x - 2x + y = - 2x + 4

y = -2x + 4  (This is not the correct answer because the slope, m = -2. The given graph has a positive slope).

b) 2x - y = - 4

2x - 2x - y = - 2x - 4

-y = -2x - 4

Divide both sides by -1:

[tex]\frac{-y}{-1} = \frac{-2x - 4}{-1}[/tex]

y = 2x + 4 This is the correct answer because it matches the y-intercept (0, 4), and has a positive slope of 2.

We could easily disregard the last two options because both of their y-intercept is 0.

Therefore, the correct answer is Option b) 2x - y = - 4

Need help thank you !

Answers

Answer)
Exact form - 101/15
Decimal form - 6.73
Mixed number - 6 11/15

Answer:

Step-by-step explanation:

The lowest common denominator of 10 and 6 is 30.

9/10 = 3*9/10*9 = 27/30

1/6 = 5/1/(6 * 5) = 5/30

6 27/30 - 5/30 = 6 22/30 = 6 11/15

Answer 6 11/15

MATH if someone can please help that would be amazing thank you!

Answers

223,200,000 should be correct

Which of the following relation is/are function/s?
A.the rule which assigns each person a surname
B. the rule which assigns a pen and the color of it's ink
C.the rule which assigns the name of teachers you have
D. the rule which assigns to each person the name of his brother

Answers

Answer:

A. THE RULE WHICH ASSIGNS EACH PERSON USERNAME

Step-by-step explanation:

MARK PLS

Answer:

punta ka sa settings bi tapos I change ng Pilipinas yong server mo baka may makasagot ng tanong mo

Mona opened a savings account with a S500
deposit and a simple interest rate of 5.6% If
there were no deposits or withdrawals now
much money is in the account after 8 ÷ years?

Answers

$224

...................

16. John's daily income is $120. His daily income is 20% more than Michael's daily income. What is Michael's
daily income?
Plz send step by step explanation
Will mark as a brainiest

Answers

Answer:

Michael's daily income is $96

Step-by-step explanation:

Given

john's income=$120

by question

John's income is 20%more than Micheal's

so,. Micheal's income= John's income - 20%of John's income

=$120 - 20%of $120

=$120 -20/100*$120

=$120 - $24

=$96

Answer:

100

Step-by-step explanation:

[tex]x + \frac{20x}{100} = 120 \\ x + \frac{x}{5} = 120 \\ 5x + x = 600 \\ 6x = 600 \\ x = 100[/tex]

what is I need help with this 3/4 + 1/3 =

Answers

Answer:

Find the LCM of 3 and 4

Divide 12 by 4 and multiply with 3 which is 9

Divide 12 by 3 and multiply with 1 which is 4

9 plus 4 is 13

so the answer is 13/14

HELP HELP HELP HELP HELP HELP​

Answers

Problem 1

I'm assuming your teacher means "list all the possible rational roots".

If so, then we use the rational root theorem. This is the idea where we'll divide the factors of the last term over the factors of the first coefficient.

Factors of 5:  1, 5Factors of 3:  1, 3

If we divide said factors in the order mentioned, then we get this list of possible positive rational roots:

1/1, 1/3, 5/1, 5/3

That list simplifies to

1, 1/3, 5, 5/3

That takes care of the positive possible rational roots. We double the list to incorporate the negative possible rational roots as well

-1, -1/3, -5, -5/3

Answer:   1, -1, 1/3, -1/3, 5, -5, 5/3, -5/3

Note: We can rewrite that list in bold into [tex]\pm 1, \pm\frac{1}{3}, \pm 5, \pm \frac{5}{3}[/tex] to shorten it.

============================================================

Problem 2

We'll follow the same idea as the previous problem

Factors of 36:  1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 4:  1, 2, 4

To keep track of everything, I made a spreadsheet table. Refer to the diagram below. The factors of 36 are laid across the top while the factors of 4 are along the left side. Each inner cell represents dividing the headers.

For example, 36/4 = 9 is in the bottom right corner. The first table is before the fractions are reduced, and the second table after the fractions are reduced.

As the second table shows, we have a few repeats. The unique items here are:

1,2,3,4,6,9,12,18,36,1/2,3/2,9/2,1/4,3/4,9/4

We'll then mirror this set to include negative values as well to write the full list of all possible rational roots.

Answer: 1,2,3,4,6,9,12,18,36,1/2,3/2,9/2,1/4,3/4,9/4-1,-2,-3,-4,-6,-9,-12,-18,-36,-1/2,-3/2,-9/2,-1/4,-3/4,-9/4

============================================================

Problem 3

Factors of 15: 1, 3, 5, 15Factors of 5:  1, 5

Divide the factors of 15 over the factors of 5 to get

1/1, 1/5, 3/1, 3/5, 5/1, 5/5, 15/1, 15/5

That list reduces to

1, 1/5, 3, 3/5, 5, 1, 15, 3

we can then toss out the duplicates to get

1, 3, 5, 15, 1/5, 3/5

Don't forget to include the negative values as well

Answer: 1, 3, 5, 15, 1/5, 3/5-1, -3, -5, -15, -1/5, -3/5

============================================================

Problem 4

The steps will be effectively the same as before. You can write out the factors like done in problem 3, or make a table like done in problem 2. I'll skip the steps shown here unless you need me to go over them.

Answer: 1, 3, 9, 1/2, 3/2, 9/2-1, -3, -9, -1/2, -3/2, -9/2

============================================================

Problem 5

There's not really much new here, except for the fact that the first term has coefficient of 1. This is a special case where all we have to do is list the factors of the last term -40 to generate all the roots we need. This is because each time we're dividing over +1 or -1 which doesn't really change the overall result (except for the sign part).

Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

Don't forget the negative values as well

Answer:1, 2, 4, 5, 8, 10, 20, 40-1, -2, -4, -5, -8, -10, -20, -40

Which of the following systems of inequalities has no solution?

Answers

Answer:

The third one

Step-by-step explanation:

y=>x+1

y=<x-1

removing y

x-1 => x+1

removing x

we have no solution

Option C has no solution.

By definition, parallel lines have the same slope, in which they have no point of intersection. Therefore, they will have no solution (making them an inconsistent system).

Out of all the given options, the inequality statements in Option C has the same slope of 1 (regardless of the inequality symbol, what matters is their lack of point of intersection because their lines are parallel).


Therefore, the correct answer is Option C: y ≥ x + 1; y ≤ x - 1.

I need help asap pleaseeeee

Answers

y
=

2
x

1
I think I’m not sure

Simplify this expression (square root 2+square root 3)(square root 5-square root 7)

Answers

Answer:

√10−√14+√15−√21

Step-by-step explanation:

Answer:

√10−√14+√15−√21

Step-by-step explanation:

Correct on Edge 2022

The opposite angles formed by two intersecting lines are ______?

1)of equal measures/ समान मापाचे

2)supplimentary / पूरक

3)of unequal measures / असमान मापाचे

4)corresponding angles / संगत कोन​

Answers

Answer:

1)

Step-by-step explanation:

The opposite angles formed by two intersecting lines are of equal measures.

They are called vertically opposite angles.

please help me asap if you can!

Answers

Answer:

Step-by-step explanation: -3(m-2)=-9

                                           -3m + 6 = -9

                                           -3m = -15

                                                 m=5

Answer:

[tex]m=5[/tex]

Step-by-step explanation:

[tex]-3(m-2)=-9~(Given)\\\\-3m+6=-9~(Distributive~Property)\\\\-3m+6-6=-9-6~(Addition~Property~of~Equality)\\\\-3m=-15~(Simplify)\\\\\frac{-3m}{-3}=\frac{-15}{-3}~(Division~Property~of~Equality)\\\\m=5~(Simplify)[/tex]


IF YOU CAN ONLY ANSWER ONE ITS OKAY

Find the slope of a line perpendicular to each given line.
13) -3y = 9 - 4x
14) -y - 1 = 6 x

Answers

13. M=4/3

14. m=-6

Step-by-step explanation:




please!!!


need an answer asap!





will give brainliest


Answers

The correct opinion is C

Find the 9th term of the geometric sequence 9, -27, 81, ...

Answers

Answer:

59049

Step-by-step explanation:

nine times negative 3 8 times

Answer:

a₉ = 59049

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 9 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-27}{9}[/tex] = - 3 , then

a₉ = 9 × [tex](-3)^{8}[/tex] = 9 × 6561 = 59049

Which of these is not a factor of 4x2? x2 2.​

Answers

29;72828834837271912938462891

115.6 is what % of 340

Answers

Answer:

34

Step-by-step explanation:

115.6/340 = 0.34 x 100 = 34 percent

Express 1.07 into percentage​

Answers

1.07 x 100 = 107%
hope this helps! :)

Answer:

12 * 1.07 = 12.84

Step-by-step explanation:

You an can pick any number to express another number in this example we find  0.84 = 7% and 12 = 1 as 12 represents 1 whole.

{(-4,3), (5,-9), (11,4), (9,6), (5,-3), (8,-9), (1,4)}
Function / Not a Function

Answers

is not a function.

The relation is not a function.

Step-by-step explanation:

It is a function

It’s a function because the x values don’t repeat. If there were two or more of any numbers in the x value, it’s not a function. It doesn’t matter if the y values repeat tho. Remember it’s written (x, y)

3. Consider the equation 3x + 4 = 8x - 16. Solve for x using the given starting point."
Group 1
Group 2
Group 3
Group 4
Add 16 to both sides
Subtract 3x from both
sides
Subtract 4 from both
sides
Subtract 8x from both
sides

Answers

Answer:

X=-2.4

Step-by-step explanation:

3x+4=8x+16

-5x+4=16

-5x=12

x=-2.4

X=6
3x+4=8x-16
+16 +16
3x+20=8x
-3x -3x
30=5x
/5 /5
6=x

What is the vertex form of the function: f(x) = -12x - 6x^2- 13?

Answers

Answer:

f(x)=-6*(x+1)^2+-7

Step-by-step explanation:

This is because the vertex is at (-1|-7)

f(x)=-6*x^2+-12*x+-13

f(x)=-6*(x^2+2*x+13/6) ( Factor out )

f(x)=-6*(x^2+2*x+(1)^2+-1*(1)^2+13/6) ( Complete the square )

f(x)=-6*((x+1)^2+-1*(1)^2+13/6) ( Use the binomial formula )

f(x)=-6*((x+1)^2+1*7/6) ( simplify )

f(x)=-6*(x+1)^2+-7 ( expand )

Hope this Helps

- + =6
- +
+ - =14
+ - +
- + =5
= = =
9 10 4

Answers

Step-by-step explanation:

20-17+3=6

18+1-5=14

7-8+6=5

20-18+7=9

17+1-8=10

3-5+6=4

Can someone pls help me :(( tysm if u do and i have 7 khan academy’s and there only 4 questions on each on can someone pls help me on them there all due by 12 tn and i dont know who else to ask for help tysm if u do:c

Answers

Answer:

-8

Step-by-step explanation:

I’ll substitute x for the blank space:

-2 = x + 6

-2 - 6 = x

x = -8

-8 + 6 = -2 ✅

how many feet is 535 from -8

Answers

Answer:

527 is your answer

Step-by-step explanation:

Lucie spent 1/4 hour shooting baskets. She made 15 baskets durning that time. How many baskets would she make in 3 1/2 hours?

Answers

Answer:

15*4=60;60*3.5=210

Step-by-step explanation:

60 is the number of baskets Lucy makes in an hour,210 is her 3.5 hours of baskets

Answer:

answer is 1/4 × 3 1/2 =

3 1/8

Which segments are parallel?
Select each correct answer.
O EF
O AB
O GH
O CD

Answers

Is there an image for the question?

Answer:

EF ║ CD and AB ║ CD are the parallel segments.

Step-by-step explanation:

The given question is incomplete without picture; here is the picture attached with the answer.

Since m∠A = m∠D = 42°

Therefore, AB ║ CD and segment AD is the transverse.

Now ∠AEF + ∠IEF = 180° [Supplementary angles]

138° + ∠IEF = 180°

∠IEF = 180 - 138

       = 42°

∠IHG + ∠DHG = 180° [ Supplementary angles ]

∠IHG + 122 = 180

∠IHG = 180 - 122

∠IHG = 58°

But ∠IEF ≠ ∠IHG

Therefore, EF and GH are not parallel.

If the segments AB and GH are parallel then ∠IHG = ∠IAB (By the property of alternate angles)

But ∠IHG ≠ ∠IAB

Therefore, AB and GH are not parallel.

Now ∠IEF ≅ ∠IDC ≅ 42° [alternate angles]

which reveals that EF ║ CD

Therefore, EF ║ CD and AB ║ CD

Pls help this is for a test ill give 20 points

Answers

Answer:

y = 2x+1

Step-by-step explanation:

Given, the slope of a line is 2 and y-intercept is 5.

Here, m=2 and c=1.

The equation of the line in slope-intercept form is given by

              y=mx+c

∴             y=2x+1 is a required equation.

Not sure if it correct or not.


write an equation of the line that passes through the point (1,3) and has a slope of -2

Answers

Answer:

y= -2x+1

Step-by-step explanation:

y=mx+b

y= -2x +b

3= -2(1) +b

3= -2 +b

b=1

y= -2x+1

The population of Hillsborough County in Florida in 2010 was 1,229,226 and the land
area was 1,020 square miles. The population increased by 9.7% in 2015.
Part 1: To the nearest whole number, find the population density, in people per
square mile, for Hillsborough County in 2010.
Part 2: To the nearest whole number, how much did the population density, in people
per square mile, increase from 2010 to 2015?

Answers

Answer:

About 1205.12352941 people per square mile in 2010

About 1329.36306853 people per square mile in 2015

Explanation:

take population and divide by land area

for 2015 pop do total pop divided by 9.7 plus total pop

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