# Algebra Examples

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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.
Rewrite as .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Remove parentheses.
Simplify and combine like terms.
Simplify each term.
Use the power rule to combine exponents.
Use the power rule to combine exponents.
Reorder and .
Find the components of the definition.
Plug in the components.
Simplify.
Simplify the numerator.
Subtract from to get .