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

(0,8) , (-9,2)
Find the value of the slope.
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
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
Find the value of the y-intercept.
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