# Algebra Examples

Choose a point that the perpendicular line will pass through.

Rewrite the equation as .

Add to both sides of the equation.

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

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.

Multiply the numerator by the reciprocal of the denominator.

Multiply by .

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

Solve for .

Subtract from .

Simplify .

Subtract from .

Combine and .

Move to the left of .

Reorder terms.

Remove parentheses.