# Precalculus Examples

Find the Equation Using Point-Slope Formula
,
Step 1
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 .
Add and .
Simplify the denominator.
Multiply by .
Add and .
Divide by .
Step 2
Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .
Step 3
Simplify the equation and keep it in point-slope form.
Step 4
Solve for .
Add and .
Simplify .
Add and .
Rewrite as .
Step 5
List the equation in different forms.
Slope-intercept form:
Point-slope form:
Step 6
Enter YOUR Problem
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