# Precalculus Examples

Choose a point that the parallel line will pass through.

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

Simplify each term.

Simplify .

Write as a fraction with denominator .

Multiply and .

Move to the left of the expression .

Multiply by .

Rewrite in slope-intercept form.

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 .

Simplify the left side.

Simplify each term.

Multiply by .

Simplify .

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.