,

Slope is equal to the change in over the change in , or rise over run.

The change in is equal to the difference in x-coordinates (also called run), and the change in is equal to the difference in y-coordinates (also called rise).

Substitute in the values of and into the equation to find the slope.

Multiply the numerator and denominator of the complex fraction by .

Multiply by .

Combine.

Apply the distributive property.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Simplify the numerator.

Multiply .

Multiply by .

Multiply by .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Add and .

Simplify the denominator.

Multiply by .

Multiply by .

Multiply by .

Subtract from .

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Find the Slope (2,-1/2) , (5,3/2)