# Finite Math Examples

Find the Equation Using Point-Slope Formula
,
Find the slope of the line between and using , which is the change of over the change of .
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 .
Divide by to get .
Use the slope and one of the given points such as to substitute for and in the point-slope form , which is derived from the slope equation .
Solve for to get the equation.
After finding the slope between the points, use point-slope form to set up the equation. Point-slope is derived from the equation for slope .
Subtract from to get .
Simplify the right side.
Subtract from to get .
Multiply by to get .
Rewrite as .

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