Mathematics High School

Choose the point-slope form of the equation below that represents the line that passes through the points (−6, 4) and (2, 0)

Answers

Answer 1

Answer:

B. y - 4 = - 1/2(x + 6)

Step-by-step explanation:

Given points on the line:

(−6, 4) and (2, 0)

Find the slope:

m = (0 - 4)/(2 - (-6)) = -4/ 8 = -1/2

Point slope form using the first point:

y - 4 = - 1/2(x - (- 6)) ⇒ y - 4 = - 1/2(x + 6)

Correct choice is B

Answer 2

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required equation is :

[tex]\boxed{ \boxed{y - 4 = - \dfrac{1}{2} (x + 6)}}[/tex]

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

Let's find the slope (m) ~

[tex] \mathrm{\dfrac{y_2 - y_1}{x_2 - x_1} }[/tex]

[tex] \dfrac{4 - 0}{ - 6 - 2} [/tex]

[tex] - \dfrac{4}{8} [/tex]

[tex] - \dfrac{ 1 }{2} [/tex]

now, let's use the slope and the points to write the equation of line in point slope form ~

[tex]y - 4 = - \dfrac{ 1}{2} (x - ( - 6))[/tex]

[tex]y - 4 = - \dfrac{1}{2} (x + 6)[/tex]

Related Questions

Which statement about the points (5, -9) and (5,9) is true? Plot the points on a coordinate plane to help you answer the question. © A. (5.-9) and (5,9) are reflections of each other over the yaxis. B. (5, -9) and (5,9) are reflections of each other over the x-axis. C. (5.-9) and (5,9) are both on the x-axis. D. (5.-9) and (5,9) are reflections of each other over both axes.

Answers

Answer:

A. (5,-9) and (5,9) are reflections over the y-axis

Step-by-step explanation:

the product of r and 8

Answers

Answer:

I believe it'd be 8r.

helppppppppppppppppp

Answers

Hope this helps xoxoxoxo

need help!!!

which addition matches the problem...

Answers

Answer:

The addition that matches the problem is the first one.

Step-by-step explanation:

The red line goes back 8 so it is a -8 and the blue line goes forward 4 so it is a postive 4.

4 + (-8) = -4

HELP PLS MARKING BRAINLEIST

Answers

Answer:

Step-by-step explanation:

5/5=1

Answer:

4/5

Step-by-step explanation:

You move up four on the y-axis and over 5 on the x-axis and it would meet the next point

Hope this Helps

In the equality -x>5 what must you do to solve the problem

Answers

Answer:

x < -5 (~Divide -1 to both sides)

Step-by-step explanation:

-x > 5

~Divide -1 to both sides

x < -5

If f(x)= 3x-2 find x if f(x)= 19

Answers

Answer:

19= 3x-2

3x= 21

X= 7

Step-by-step explanation:

Hope it helps!!

helppppppppppppppppppppppppppppppp

Answers

These are your answers:

a) 6.7

b) 6.7

c) 10

d) 10

e) 100

f) 100

Hope this helps.

I need help on this question plz and thank you
(Question 5 and if you can number 3 as well)

Answers

H = -2r + s/πr

C = 3A-a-b

If you need step by step comment

CAN SOMEONE HELP ME WITH THIS EQUATION?

Answers

Answer:

82.96 people/km^2

Step-by-step explanation:

people / square km

3.70 x 10^9

----------------- =

4.46 x 10^7

3.70 x 10^2

----------------

4.46

0.8295... x 100 = 82.959641 or rounded 82.96

A=?

b=?

C =?

Can someone tell me the answer please

Answers

Answer:

Below.

Step-by-step explanation:

a = 37 degrees ( vertical angle to 37 )

c = 180 - 37 = 143 degrees (adjacent angles add up to 180).

b = 180 - 37 - 109 = 34 degrees (angles in a triangle sum to 180 degrees).

a = 37 degrees

c = 180 - 37 = 143 degrees.

b = 180 - 37 - 109 = 34 degrees

is the answer(s) E, D, C, B, or A?

Answers

Answer:

A,C,E

You can see that the temperature and heat energy is changing at those points than just sitting there like B and D

Write the equation of the line in point-slope form.

Answers

Answer:

y-1= -3/4(x-1)

Step-by-step explanation:

find the slope then put it in the format: y2-y1=m(x2-x1)

y-1= -3/4(x-1)

Answer:

y = -3/4x + 7/4

Step-by-step explanation:

So we have 2 points:

(-3, 4) & (1, 1)

The formula for point-slope is:

y - y1 = m (x - x1)

First, we need to find the slope between the points

The formula for this is

(y2 - y1) /(x2 - x1)

1 - 4 / 1 - (-3) ->

-3 / 4

Our slope is -3/4 (m)

y = -3/4 (x + 3) + 4

I've done this using a simplified formula for point slope which is

y = m(x - x1) + y1

we can simplify this equation more

y = -3/4x + 7/4

is our final equation.

Una membresía de 2 meses para el gimnasio cuesta $ 125. A Jim le gustaría ser miembro durante 8 meses. ¿Cuál es la cantidad total que pagará durante 8 meses?

Answers

la respuesta es 500$

−2(x+1)=x−3x−2 No solution, one solution, or infinite solutions

Answers

Answer:

infinite solutions (All real numbers are solutions)

Step-by-step explanation:

−2 *(x + 1) = x −3x −2

-2x - 2 = -2x -2

What is the domain in (6-4),(8,-4), (8,-8)}?
a) 2,4.13
c) -4,-8}
b) {6,8}
d) (-2,00)

Answers

Answer:

hope this helps

What is the slope of the line graphed below

Answers

Answer:

mx + y = c slope = - 4 and y - intercept = 2 , then the equation of line is mx + y = c .

Step-by-step explanation:

If I am wrong sorry If I am right mark me brainliest

2 lines intersect. A line with points R, S, U intersects a line with points V, S, T at point S.
In the diagram, which angles form a linear pair? Select three options.

∠RST and ∠RSV
∠RST and ∠TSU
∠RST and ∠VSU
∠TSU and ∠USV
∠TSU and ∠RSV∠

Answers

Step-by-step explanation:

here is your answer

enjoy

thanks to another users to give this answer

Omar can jog 3 2/5 miles in 2/3 of an hour. Find his average speed in miles per hour.

Answers

Answer:

9.6miles per hour

Step-by-step explanation:

2/3＝40min

32/5 /40＝0.16

0.16miles per min

0.16*60＝9.6

Step-by-step explanation:

he jogs 3 2/5 miles in 2/3 of an hour.

3 2/5 miles are 17/5 miles.

now, to get mph as speed unit, we need to bring the 2/3 hour to 1 hour.

we need to multiply 2/3 by a factor to get 1

2/3 × x = 1

2x = 3

x = 3/2

since we have to multiply the denominator of the ratio by 3/2, we also need to multiply the numerator by the same value to keep the overall value of the ratio/fraction the same.

17/5 / 2/3 × 3/2 / 3/2 = (17/5 × 3/2) / (2/3 × 3/2) =

= ((17×3)/(5×2)) / ((2×3)/(3×2)) =

= (51/10) / 1 = 51/10 = 5.1 mph

so, his jogging speed is 5.1 mph.

The airline tickets to Jamaica that you want to buy just went on sale. They were originally $1100 and the sale price is $600. What percentage is the original price marked down?

Answers

Step-by-step explanation:

100% = $1100

1% = 100%/100 = 1100/100 = 11

how many % are $600 ?

that is how often does 1% fit into $600 ?

600 / 11 = 54.545454... %

rounded that means 55%.

so, the making down percentage is then the difference

100% - 55% = 45%

Simplify the following to standard form
1.(9x+7y+8z)+(2x+ -4y+7z)
2. (5x +10y+ -8z) - (2x+ -2y + -3z)

Answers

Answer:

1, 11x + 3y + 15z

2, 3x + 12y + -5z

Step-by-step explanation:

all you need to do is combined the like terms and make sure the signs (positive and negative signs) are right

Armando wants to raise funds at his school fair. He plans to charge 10 cents to pick marshmallows from his bag without looking. He will give: • 20 cents to anyone who picks a Blue marshmallow. • 50 cents to anyone who picks a Yellow marshmallow. • $1 to anyone who picks a White marshmallow. • Anyone picking a Red or Green marshmallow will lose their money There are as equal number of marshmallows of each color. 3a. Show work and explain why Armando will lose money with this game. Justify using mathematics.

Answers

Since the expected value for this game is negative, Armando will lose money.

The expected value is given by the sum of all outcomes multiplied by it's respective probability.

In this problem:

There are blue, yellow, white, red and green marshmallows, each with a [tex]\frac{1}{5}[/tex] probability of being picked.If red or green marshmallows are picked, Armando get the charge of $0.1.If someone picks a blue marshmallow, he loses $0.1.If someone picks a yellow marshmallow, he loses $0.4.If someone picks a white marshmallow, he loses $0.9.

Thus, the expected value is:

[tex]E = 0.1\frac{2}{5} - 0.1\frac{1}{5} - 0.4\frac{1}{5} - 0.9\frac{1}{5} = \frac{0.2 - 0.1 - 0.4 - 0.9}{5} = -0.24[/tex]

Since the expected value for this game is negative, Armando will lose money.

A similar problem is given at https://brainly.com/question/24855677

Sarah and Maya must split the $15 they earned, from scorekeeping a volleyball game. Sarah says, “ there’s only one way to split this money, we both get $7.50.” Maya argued that there were an infinite number of ways to divide the money. Who is correct? Prove their argument.

(Please help!)

Answers

Answer:

sarah is correct

Step-by-step explanation:

there are not multiple ways to divide you can only use division and the equation is 15/2

A student has a savings account with $475 in it. She deposits $125 of her paycheck into the account every week. Her goal is to save $7,000 for college.

a.How much will be in the account after 3 weeks?
b.How long will it take before she has $1,350?
c.Write an equation that represents the relationship between the dollar amount in her account and the number of weeks since she started depositing $125 each week.
d.Graph your equation using graphing technology. Mark the points on the graph that represent the amount after 3 weeks, and also the week she has $1,350. Write down the coordinates.
e. How long will it take her to reach her goal?

Answers

9514 1404 393

Answer:

a. $850

b. 7 weeks

c. f(x) = 125x +475

d. see attached (3, 850), (7, 1350)

e. 53 weeks

Step-by-step explanation:

After 3 weeks, $125×3 = $375 will have been added to the $475 already in the account. The balance will be ...

$375 +475 = $850

The student will have to add $1350 -475 = $875 to her account to reach $1350. At a rate of $125 per week, that will take ...

$875/($125/week) = 7 weeks

The initial value is $475, and the rate of change is $125 per week, so the equation can be written ...

f(x) = 475 +125x . . . . . . . balance after x weeks

See the attached graph with the required points marked. (3, 850), (7, 1350)

It will take more than 53 weeks for the student to reach her goal. (After 52 weeks, the account will have $6975, so will be $25 short of the goal.)

50% more than what number is 20% less than 60% more than 10?

Answers

Answer:

Step-by-step explanation:

Let's start by decoding this :)

First lets do 60% more than 10; 16 (mental math)

Next, lets do 20% less than 16; x/16 = 80/100 (Equation)

After solving by cross multiplying & then simplifying (make sure both denominators are 100), you should get 12.8 as your final #! Hope this helped.

i need some frikin help on equations like this 4x>2 i used to do questions like this 4x=2 (basically one step equations) im just really confused

Answers

Answer:

x>1/2

Step-by-step explanation:

4x>2

4x/4

2/4

x>2/4

2/4 divided by 2= 1/2

x>1/2

THIS IS IT AND NO MORE QUESTION AND THX FOR HELP!! HELP AGAIN PLEASE

Answers

5 1/2 * 1 2/5

They can be turned into improper fractions to make multiplying easier. Do this by multiplying the whole number by the denominator and then adding the numerator, and then putting that number over the given denominator.

11/2 * 7/5

The numerators are multiplied and the denominators are multiplied.

77/10

Now, reduce it back into a mixed number.

7 7/10

Hope this helps! :D

I NEED HELP PLEASE!!!!!!

Answers

Answer:

Step-by-step explanation:

Two angles are alternate and has same measurement because line l and line m are parallel so to find x:

4x - 50 = 2x + 30

4x - 2x = 30 + 50 add/subtract like terms

2x = 80 divide both sides by 2

x = 40

2. Is this graph a function?

A. This is not a function

B. This cannot be determined from graph

C. This is function

Answers

C. This is a function

C. This is a function.
You know this because none of the points are on the same lines going down.

(14.7+9.3) times (1/2)2

Answers

Answer:

Step-by-step explanation:

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