# Algebra Examples

Choose a point that the perpendicular line will pass through.

Since is on the right side of the equation, switch the sides so it is on the left side of the equation.

Add to both sides of the equation.

Divide each term by and simplify.

Divide each term in by .

Reduce the expression by cancelling the common factors.

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 .

Simplify .

Write as a fraction with denominator .

Multiply and .

Move to the left of the expression .

Multiply by .

Reorder terms.

Remove parentheses.