The point (2,-4), (x,y), A, and B all lie on the line. Find an equation relating x and y (Hint: The lope formula)

Answers

Answer 1

The point (2,-4), (x,y), A, and B all lie on the line. An equation relating x and y is m(x-2)=y+4.

The points (2, -4), (x, y) are lie on the line.

The slope formula is the vertical change in y divided by the horizontal change in x, sometimes called rise over run. The slope formula uses two points, (x1, y1) and (x2, y2), to calculate the change in y over the change in x. Slope is a ratio that includes how y changes for every unit increase of x.

The slope formula,

m[tex](x_{2}-x_{1})= y_{2}-y_{1}[/tex]

Here, [tex]x_{1} = 2, x_{2}= x, y_{1}= -4[/tex] and [tex]y_{2}= y[/tex]

Now, we have to substitute the values in the formula,

[tex]m=\frac{y-(-4)}{x-2}[/tex]

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

m(x-2)= y+4

Therefore, the equation is m(x-2)=y+4.

For such more questions about slope equation:

https://brainly.com/question/29843638

#SPJ4


Related Questions

Find the value of x.

Answers

Answer: x =42°

The angles are equal

Can some please help me on question 2 I am just confused.

Answers

Answer:

ok so weknow tht 160 pounds cost 9.60 how much do u think will 1.50 cost

Step-by-step explanation:

A zoo starts off with 8 monkeys, and the monkeys population
doubles every year. How many monkeys are in the zoo after 4
years?
monkeys

Answers

Answer:

32

Step-by-step explanation:

64 because the first year you’ll have 8 monkeys which doubles for the second year where you’ll have 16 monkeys. in the third year they will be 32 and it doubles in the last year making the total 64

A bottle of soap costs $3.45 for 64ounces. What is the cost per ounce?

Answers

Five cent per a ounce

Answer:

$0.05

Step-by-step explanation:

All you have to do us divide the cost by the amount of ounces

3.45 ÷ 64 is about 0.05

The full answer is 0.05390625

Since we are talking about money, it should be $0.05

Someone pls help:( im new tysm if u doo!

Answers

75.5 all you do is add them
59 + 16.5= 75.5! I’m new too let me know if you need anymore help you can always message me! (I’m in seventh grade and I really like to help people!, it’s really entertaining for some reason)

identify the equation whose graph is a vertical line.

a) y=x/3-1

b) y=0

c) x=0​

Answers

I’m guessing b I might be wrong

Which one doesn’t belong?
Come up with one reason for at least 3 different boxes

Answers

Answer:

I think box #1 doesnt't belong because it say spend $100 and get $10 off

Step-by-step explanation:


A new savings account is opened with $400 and gains 3% every year. What is the value of the account at 32 years?

Answers

Answer:

1072

Step-by-step explanation:

10. Mason earns $10 for each lawn he mows. How much will he earn if he mows 6 lawns?
A. Write and solve an equation to solve the problem. Show your
work.

Answers

$10.00 x 6 =
$60.00
I’m not sure how to show any more work than that. It’s just 10 times 6..

Answer:

60

Step-by-step explanation:

just multiply 10 by 6 why is this in highschool math though.

PLS HELP I WILL MARK THE BRAINLIEST.

Answers

Answer:  HELP ASA! I NEED HELP ON MY TWO LAST QUESTIONS

Step-by-step explanation:

What is 2 2/13 divided by 2/3

Answers

Answer:

3.23

Step-by-step explanation:

Answer:

the answer is 3.23 hahahhhhahahhahndjalid;jslakjsakl sorry needed that to submite the answer

additive inverse of 8/-13 pls help fast​

Answers

Answer:

8/13

hope this answer helps you.....

find the area please​

Answers

Answer:

86.54625

Step-by-step explanation:

Formula: a = πr², r = d/2

Given: π = 3.14, d = 10.5

Sub: a = (3.14)r²

Find r.

10.5/2

5.25

Sub: a = (3.14)5.25²

Solve: 86.54625

Ashley deposited $4,000 into a savings account that earns 4% simple interest. How much interest did she earn after three years?

Answers

Answer:

for the 1st year she earned 160 so for 3 years she will earn $480

what is the product
4/6 x 9

13/16

36/54

3

6​

Answers

the answer is 6! have a good day

Please help me out with this

Answers

Answer:

Step-by-step explanation:

surface area = 3^2 : 11^2

volume = 3^3 : 11^3

width  = 3: 11

hmm I'm not sure what you can enter into the text boxes.. if it won't let you put in the exponentials just use your calculator to put in the number that they equal.   But I like the exponential form better.  

A .Write an equation for the trend line in slope -intercept form .

Answers

Given:

The graph of a trend line.

To find:

The equation of the trend line is slope intercept form.

Solution:

From the given graph it is clear that the equation of the trend line is passes through the points (0,25) and (5,50).

Slope of the line is:

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

[tex]m=\dfrac{50-25}{5-0}[/tex]

[tex]m=\dfrac{25}{5}[/tex]

[tex]m=5[/tex]

The line passes through the point (0,25). So, the y-intercept of the line is 25.

Slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

The slope intercept from of the line is:

[tex]y=(5)x+(25)[/tex]

[tex]y=5x+25[/tex]

Therefore, the equation for the trend line in slope -intercept form is [tex]y=5x+25[/tex].

Emma bought three cans of tennis balls for $4 each. Sales tax for all three cans was $0.95. Wh
expression shows what Emma paid?

Answers

Answer:

4(3)+0.95=X

Step-by-step explanation:

Answer:

A sixth-grade student bought three cans of tennis balls for $4 each.

The sales tax for each can was $0.95.

To Find :

The total amount the student spent.

Solution :

Price of each can including taxes :

p = $( 4 + 0.95 )

p = $4.95

So, price of 3 such cans including tax is :

P = p×3

P = $( 4.95×3 )

P = $14.85

Therefore, total amount spend by the student is $14.85 .

Step-by-step explanation:

Which is equivalent to x2 - 4x = 12 by completing the square

Answers

Answer:

x = 6 , − 2

Step-by-step explanation:

James wants to cover a floor measuring 90 cm by 120 cm with square tiles of the same size.
Given that he uses only whole tiles, find the largest possible length of the side of each tile​

Answers

Answer:

30cm

Step-by-step explanation:

Find L.C.M of 90 and 120

I need help I'm struggling :(

Answers

Ohh !! I’ll help you. I think your suppose to find the area of the rectangle prism? I suppose?
To find the rectangular prism, you’ll have to use this formula : LWH
L= length
W=width
H=height
Multiply those together and you will get your answer.

V=LWH
V=6*6*10
V=36*10
V=360 square 2 is your answer! ( remember to put units )

- have a great day :)

write a linear equation using y=mx+b

Answers

Jsjsnsnendndndnndjxjxjcjcjcjjcjxjx

Can someone please help me with math.

Answers

Answer:

B

Step-by-step explanation:

The solution to a system of equation is when two lines pass and intersect ona specific point. Here we are looking for (0,1).

we can see b intersects on (0,1) so that is out answer.

What’s the formula to find the area of a right triangle? (pythagorean theorem)

Answers

Answer:

multiply the hight and length then divide it by 2

Step-by-step explanation:

A quantity with an initial value of 980 decays exponentially at a rate of 0.3% every 6 decades. What is the value of the quantity after 49 decades, to the nearest
hundredth?

Answers

Answer:

956.73

Step-by-step explanation:

0.3% = 0.003

1-0.003 = 0.997

49/6 = 8 r1 (use 8 because decay is not continuous)

0.997^8 = 0.97625...

0.97625... x 980 ≈ 956.73

Answer: 956.25

Step-by-step explanation:

Compare the functions shown below: g(x) f(x) = −3x + 2 cosine function with y intercept at 0, negative 3 h(x) = 4 sin(2x + π) + 3 Using complete sentences, explain which function has the greatest y-intercept.

Answers

Answer:

3 h(x) = 4 sin(2x + π) + 3

Step-by-step explanation:

The function h(x) has a greater y-intercept

How to compare the functions?

The functions are given as:

f(x) = -3x + 2 h(x) = 4 sin(2x + π) + 3

Set x to 0,to calculate the y-intercepts

f(0) = -3(0) + 2 = 2

h(0) = 4 sin(2(0) + π) + 3 = 3

From the above computation, we have:

f(0) = 2

h(0)= 3

By comparison, we have:

h(0) > f(0)

This means that the function h(x) has a greater y-intercept

Read more about y-intercepts at:

https://brainly.com/question/1884491

Please help! Check to see if I have all of them correct! Will mark brainlist

Answers

I am pretty sure they are all right

Anyone help me solve for y.

Answers

Answer:

y = - 4

Step-by-step explanation:

Given

y = 2x + ( - 2) , that is

y = 2x - 2 ← substitute x = - 1

y = 2(- 1) - 2 = - 2 - 2 = - 4

This is confirmed by the point (- 1, - 4 ) on the graph

X = -1
So if you Plug that in to your problem it is shown as y=2(-1)+-2.
2•-1 is -2 and when added to -2 you answer is -4.
Y=-4

42. Use the Quadratic Equation to find the Roots of x2 + 3x - 3=0

Answers

Answer:

Step-by-step explanation:

The coefficients of the x terms are {1, 3, -3}, so the discriminant, b^2 - 4ac, is 3^2 - 4(1)(-3), or 9 + 12, or 21.  The positive nature of the discriminant tells us that there are two real, unequal roots.  Following the quadratic formula, we get:

       -3 ± √21

x = -----------------

              2

Tiara attended 12 piano classes in four weeks. If she attended the same number of classes each week, which equation can be used to find the number of classes she attended every week?
A.4 + c = 12
B.4c = 12
C.12c = 4
D.12 - c = 4

Answers

Answer:

C

Step-by-step explanation:

Because i'm smart and did the math.

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