# Precalculus Examples

Find the Constant Using Slope
,
Step 1
Divide each term in by and simplify.
Step 1.1
Divide each term in by .
Step 1.2
Simplify the left side.
Step 1.2.1
Cancel the common factor of .
Step 1.2.1.1
Cancel the common factor.
Step 1.2.1.2
Divide by .
Step 1.3
Simplify the right side.
Step 1.3.1
Divide by .
Step 2
Find the slope of the equation in terms of using the slope-intercept form.
Step 3
Set the known value of equal to the slope of the equation in terms of .
Step 4
Rewrite the equation as .
Step 5
Multiply both sides of the equation by .
Step 6
Simplify both sides of the equation.
Step 6.1
Simplify the left side.
Step 6.1.1
Simplify .
Step 6.1.1.1
Cancel the common factor of .
Step 6.1.1.1.1
Cancel the common factor.
Step 6.1.1.1.2
Rewrite the expression.
Step 6.1.1.2
Cancel the common factor of .
Step 6.1.1.2.1
Factor out of .
Step 6.1.1.2.2
Cancel the common factor.
Step 6.1.1.2.3
Rewrite the expression.
Step 6.2
Simplify the right side.
Step 6.2.1
Simplify .
Step 6.2.1.1
Cancel the common factor of .
Step 6.2.1.1.1
Factor out of .
Step 6.2.1.1.2
Cancel the common factor.
Step 6.2.1.1.3
Rewrite the expression.
Step 6.2.1.2
Multiply by .