# 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.

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 .

Move the negative in front of the fraction.

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.

Using the point-slope form , plug in , , and .

Subtract from .

Simplify .

Multiply by .

Apply the distributive property.

Combine and .

Multiply .

Multiply by .

Multiply by .

Move to the left of .

Reorder terms.

Remove parentheses.