What would be the y-intercept for this equation?

Question

Hi could some plz help me I am extremely confused

These are the two points

A(-8,8) and B (-2,6)

The slope, I calculated, is -1/3

So now, HOW DO I FIND THE Y INTERCEPT?


Thanks so much!!!

Answer 1

slope=(6-8)/(-2+8)=-2/6=-1/3

the equation of the line is:
y-8=-1/3(x+8)
y=-1/3 x -8/3 +8
so the y intercept is
8-8/3=24-8 /3
=16/3

Answer 2

(1) You got the slope correct, so the equation of the line is,
y = -1/3 * x + b.

(2) Solve for b using either (-8,8) or (-2,6).
Using the latter gives, 6 = -1/3 * -2 + b or b = 5 1/3.
So y = -1/3 * x + 5 1/3

(3) Then set x = 0 to find out where the line intersects the y-axis, which is the y-intercept.
y-intercept = -1/3 * 0 + 5 1/3 = 5 1/3

Answer 3

slope is rise (change in y position) over run (change in x position).

The equation is you are looking for is y = Ax + B.

A is the the slope. Once you have the slope you solve the equation for B using one of you x and y values.
i.e y = (-1/3) * x + B

i.e. -8 = -1/3 * 8 + B which gives a B value of 16/3.

To find the y intercept you plug a value of zero in the equation for x and then calculate what y would be.

In this case for x = 0 y = 16/3
And for y = 0 x = 16

Answer 4

First solve for slope

m = y₂- y₁/x₂- x₁

The ordered Pairs

(-8, 8)(-2, 6)

m = 8 - 6/-8 - (-2)

m = 8 -6/-8 + 2

m = 2/- 6

m = - 1/3

The slope is - 1/3

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Second

Solving for Y intercept

Slope intercept form

y = mx + b

Ordered Pair

(-8, 8)

8 = - 1/3 - 8 + b

8 = 8/3 + b

3(8) = 3(8/3) + 3b

24 = 8 + 3b

24 - 8 = 8 + 3b - 8

16 = 3b

16/3 = 3b/3

16/3 = b

5.333333333 = b

b = 5.33 rounded to two decimal places

The y -intercept is at 5.33

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Solving for y intercept

Slope Intercept form

y = mx + b

Ordered pair

( - 2, 6)

6 = - 1/3(- 2) + b

6 = 2/3 + b

3(6) = 3(2/3) +3b

18 = 2 + 3b

18 - 2 = 2 + 3b - 2

16 = 3b

16/3 = b

b = 5.333333333

b = 5.33 rounded to two decimal places

The y intercept is at 5.33

The solution set is { 5.33 }

Answer 5

Using the form y=mx +b and either A or B. solve for b. That is the y value of the y-intercept.

6=-1/3(-2) +b
6=2/3 +b
18/3-2/3=b
16/3=b
The y-intercept is the point (0,16/3)

Answer 6

y = mx+b

You know your slope (-1/3) which is m

you have two points (-8,8) and (-2,6) which you only really need to use one of them
take one point like (-8,8) which is in the form (x,y)

plug in -8 for x, 8 for y, and (-1/3) for m

solve for B and that is the y intercept

Answer 7

(-8,8) and (-2,6)

m = (6 - 8)/(-2 - (-8))
m = (-2)/(6)
m = (-1/3)

(-2,6)m = (-1/3)
6 = (-1/3)(-2) + b
6 = (2/3) + b
18 = 2 + 3b
3b = 16
b = (16/3)

y = (-1/3)x + (16/3)

y - intercept is (16/3)

Answer 8

I think this is it..

Use one of the points, and the slope in the equation for y-intercept:
y=mx+b, which would be (with point A)

8=-1/3(-8)+b
Now just solved for b.

hope that helps!

Answer 9

Find where the line intersects O on the x axis, which will be the y amount.
So the y intercept will be at the point (0, y).
However you'd just write it as y=-1/3x+b. B being the y, obviously.

Use the mid point formula.

Answer 10

Plug one of the points into the equation y=m*x+b

so for example 8 = (-1/3)* (-8) + b and solve for b.
or 6 = (-1/3) * (-2) + b