# Algebra Examples

,

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.

Simplify the numerator.

Multiply by to get .

Add and to get .

Simplify the denominator.

Remove parentheses.

Multiply by to get .

Add and to get .

Dividing two negative values results in a positive value.

The slope of a perpendicular line is the negative reciprocal of the slope of the line that passes through the two given points.

Multiply the numerator by the reciprocal of the denominator.

Multiply by to get .

Multiply by to get .