# Precalculus Examples

,
Find the value of the slope.
Slope is equal to the change in over the change in , or rise over run.
The change in is equal to the difference in x-coordinates (also called run), and the change in is equal to the difference in y-coordinates (also called rise).
Substitute in the values of and into the equation to find the slope.
Simplify.
Simplify the numerator.
Multiply by to get .
Subtract from to get .
Simplify the denominator.
Remove parentheses.
Multiply by to get .
Add and to get .
Divide by to get .
Find the value of the y-intercept.
Substitute the value of into the slope-intercept form of the equation, .
Substitute the value of into the slope-intercept form of the equation, .
Substitute the value of into the slope-intercept form of the equation, .
Rewrite the equation as .
Simplify the left side.
Simplify each term.
Multiply by to get .
Multiply by to get .
Add and to get .
The values of the slope and y-intercept are and