# Pre-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.

Since does not contain the variable to solve for, move it to the right side of the equation by adding to both sides.

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