# Precalculus Examples

,

The slope-intercept form is , where is the slope and is the y-intercept.

Using the slope-intercept form, the slope is .

To find an equation that is parallel to , the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.

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 .

Multiply by to get .

Move all terms not containing to the right side of the equation.

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

Add and to get .

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