# 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

Simplify the right side.

Step 2.2.1

Simplify each term.

Step 2.2.1.1

Combine and .

Step 2.2.1.2

Move to the left of .

Step 2.3

Write in form.

Step 2.3.1

Reorder terms.

Step 2.3.2

Remove parentheses.

Step 3

Using the slope-intercept form, the slope is .

Step 4

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

Step 5

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

Step 6

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

Step 7

Step 7.1

Add and .

Step 7.2

Simplify .

Step 7.2.1

Add and .

Step 7.2.2

Combine and .

Step 7.2.3

Move to the left of .

Step 7.3

Write in form.

Step 7.3.1

Reorder terms.

Step 7.3.2

Remove parentheses.

Step 8