# Precalculus Examples

Step 1

Choose a point that the parallel line will pass through.

Step 2

Step 2.1

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

Step 2.2

Using the slope-intercept form, the slope is .

Step 3

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

Step 4

Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .

Step 5

Simplify the equation and keep it in point-slope form.

Step 6

Step 6.1

Add and .

Step 6.2

Simplify .

Step 6.2.1

Multiply by .

Step 6.2.2

Add and .

Step 7