# Find the Slope and Y-Intercept (2,2) , (-6,-2)

(2,2) , (-6,-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-(2)-6-(2)
Simplify.
Simplify the numerator.
Multiply -1 by 2.
m=-2-2-6-(2)
Subtract 2 from -2.
m=-4-6-(2)
m=-4-6-(2)
Simplify the denominator.
Multiply -1 by 2.
m=-4-6-2
Subtract 2 from -6.
m=-4-8
m=-4-8
Cancel the common factor of -4 and -8.
Factor -4 out of -4.
m=-4⋅1-8
Cancel the common factors.
Factor -4 out of -8.
m=-4⋅1-4⋅2
Cancel the common factor.
m=-4⋅1-4⋅2
Rewrite the expression.
m=12
m=12
m=12
m=12
m=12
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(12)x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(12)⋅(2)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
2=(12)⋅(2)+b
Rewrite the equation as (12)⋅(2)+b=2.
(12)⋅(2)+b=2
Cancel the common factor of 2.
Cancel the common factor.
12⋅2+b=2
Rewrite the expression.
1+b=2
1+b=2
Move all terms not containing b to the right side of the equation.
Subtract 1 from both sides of the equation.
b=2-1
Subtract 1 from 2.
b=1
b=1
b=1
The values of the slope and y-intercept are m=12 and b=1.
m=12
b=1
Find the Slope and Y-Intercept (2,2) , (-6,-2)