# 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.

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

Solve for .

Subtract from .

Simplify .

Multiply by .

Apply the distributive property.

Simplify .

Write as a fraction with denominator .

Multiply and .

Simplify .

Multiply by .

Write as a fraction with denominator .

Multiply and .

Move the negative in front of the fraction.

Reorder terms.

Remove parentheses.