# 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 .
Simplify the denominator.
Remove parentheses.
Multiply by to get .
Subtract from 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 each term.
Multiply by to get .
Multiply by to get .
Move all terms not containing to the right side of the equation.
Since does not contain the variable to solve for, move it to the right side of the equation by subtracting from both sides.
Subtract from to get .
The values of the slope and y-intercept are and

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