# Precalculus Examples

, ,

Slope is equal to the change in over the change in .

Substitute in the values of the known parameters.

Rewrite the equation as .

Multiply by .

Combine.

Apply the distributive property.

Cancel the common factor of .

Rewrite.

Write as a fraction with denominator .

Factor out the greatest common factor .

Cancel the common factor.

Rewrite the expression.

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Rewrite the expression.

Simplify.

Multiply and .

Divide by .

Multiply by .

Multiply by .

Multiply by .

Add and .

Rewrite.

Apply the distributive property.

Cancel the common factor of .

Reduce the expression by cancelling the common factors.

Simplify.

Multiply by .

Subtract from .

Divide by .

Since , the equation will always be true.

Always true