# Precalculus Examples

,

The slope-intercept form is , where is the slope and is the y-intercept.

Using the slope-intercept form, the slope is .

The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .

Simplify the equation and keep it in point-slope form.

Add and .

Simplify .

Add and .

Rewrite as .