# Algebra 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 the numerator and denominator of the complex fraction by .
Multiply by .
Combine.
Apply the distributive property.
Simplify by cancelling.
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.
Simplify.
Multiply by to get .
Multiply and to get .
Divide by to get .
Reduce the expression by cancelling the common factors.
Factor out of .
Factor out of .
Move .
Multiply by to get .
Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Simplify the numerator.
Multiply by to get .
Multiply by to get .
Multiply by to get .
Subtract from to get .
Simplify the denominator.
Rewrite.
Multiply by to get .
Subtract from to get .
Divide by to get .
Since , the equation will always be true.
Always true

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