# Precalculus Examples

,
Consider the difference quotient formula. Use this formula to solve for the slope of the secant line .
Find the components of the definition.
Evaluate the function at .
Replace the variable with in the expression.
Simplify the result.
Apply the distributive property.
Find the components of the definition.
Plug in the components.
Simplify.
Simplify the numerator.
Group the last three terms.
Factor.
Multiply by to get .
Remove parentheses.
Remove parentheses.
Factor out of .
Apply the distributive property.
Multiply by to get .
Remove parentheses.
Subtract from to get .
Subtract from to get .
Reduce the expression by cancelling the common factors.
Cancel the common factor.
Divide by to get .

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