(0,8) , (-9,2)

Slope is equal to the change in y over the change in x, or rise over run.

m=change in ychange in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).

m=y2-y1x2-x1

Substitute in the values of x and y into the equation to find the slope.

m=2-(8)-9-(0)

Simplify.

Simplify the numerator.

Multiply -1 by 8.

m=2-8-9-(0)

Subtract 8 from 2.

m=-6-9-(0)

m=-6-9-(0)

Simplify the denominator.

Multiply -1 by 0.

m=-6-9+0

Add -9 and 0.

m=-6-9

m=-6-9

Cancel the common factor of -6 and -9.

Factor -3 out of -6.

m=-3⋅2-9

Cancel the common factors.

Factor -3 out of -9.

m=-3⋅2-3⋅3

Cancel the common factor.

m=-3⋅2-3⋅3

Rewrite the expression.

m=23

m=23

m=23

m=23

m=23

Substitute the value of m into the slope-intercept form of the equation, y=mx+b.

y=(23)x+b

Substitute the value of x into the slope-intercept form of the equation, y=mx+b.

y=(23)⋅(0)+b

Substitute the value of y into the slope-intercept form of the equation, y=mx+b.

8=(23)⋅(0)+b

Rewrite the equation as (23)⋅(0)+b=8.

(23)⋅(0)+b=8

Simplify (23)⋅(0)+b.

Multiply 23 by 0.

0+b=8

Add 0 and b.

b=8

b=8

b=8

The values of the slope and y-intercept are m=23 and b=8.

m=23

b=8

Find the Slope and Y-Intercept (0,8) , (-9,2)