# Find the Slope and Y-Intercept (6,12) , (-6,-2) (6,12) , (-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-(12)-6-(6)
Simplify.
Simplify the numerator.
Multiply -1 by 12.
m=-2-12-6-(6)
Subtract 12 from -2.
m=-14-6-(6)
m=-14-6-(6)
Simplify the denominator.
Multiply -1 by 6.
m=-14-6-6
Subtract 6 from -6.
m=-14-12
m=-14-12
Cancel the common factor of -14 and -12.
Factor -2 out of -14.
m=-2⋅7-12
Cancel the common factors.
Factor -2 out of -12.
m=-2⋅7-2⋅6
Cancel the common factor.
m=-2⋅7-2⋅6
Rewrite the expression.
m=76
m=76
m=76
m=76
m=76
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(76)x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(76)⋅(6)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
12=(76)⋅(6)+b
Rewrite the equation as (76)⋅(6)+b=12.
(76)⋅(6)+b=12
Cancel the common factor of 6.
Cancel the common factor.
76⋅6+b=12
Rewrite the expression.
7+b=12
7+b=12
Move all terms not containing b to the right side of the equation.
Subtract 7 from both sides of the equation.
b=12-7
Subtract 7 from 12.
b=5
b=5
b=5
The values of the slope and y-intercept are m=76 and b=5.
m=76
b=5
Find the Slope and Y-Intercept (6,12) , (-6,-2)     