# 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.

Move the negative in front of the fraction.

Simplify .

Multiply by .

Multiply by .

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

Solve for .

Multiply by .

Simplify .

Multiply by .

Apply the distributive property.

Simplify .

Write as a fraction with denominator .

Multiply and .

Simplify .

Write as a fraction with denominator .

Multiply and .

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

Subtract from both sides of the equation.

Simplify the right side of the equation.

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Combine.

Multiply by .

Combine the numerators over the common denominator.

Simplify the numerator.

Multiply by .

Subtract from .

Move the negative in front of the fraction.

Reorder terms.