# 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 to must have a slope that is the negative reciprocal of the original slope.

Divide by .

Multiply by .

Using the point-slope form , plug in , , and .

Solve for .

Multiply by .

Simplify .

Multiply by .

Apply the distributive property.

Simplify the expression.

Rewrite as .

Multiply by .

Move all terms not containing to the right side of the equation.

Add to both sides of the equation.

Add and .