# Algebra Examples

Choose a point that the perpendicular line will pass through.

Subtract from 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 .

Simplify .

Multiply by .

Multiply by .

Find the value of using the formula for the equation of a line.

Use the formula for the equation of a line to find .

Substitute the value of into the equation.

Substitute the value of into the equation.

Substitute the value of into the equation.

Find the value of .

Rewrite the equation as .

Simplify the left side.

Simplify each term.

Multiply by .

Multiply by .

Add and .

Now that the values of (slope) and (y-intercept) are known, substitute them into to find the equation of the line.