# Algebra 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.

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 each term.

Multiply by to get .

Simplify .

Multiply by to get .

Write as a fraction with denominator .

Multiply and to get .

Move the negative in front of the fraction.

Add to both sides of the equation.

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