# Algebra Examples

Step 1

Choose a point that the parallel line will pass through.

Step 2

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

Subtract from both sides of the equation.

Divide each term in by and simplify.

Divide each term in by .

Simplify the left side.

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify the right side.

Move the negative in front of the fraction.

Write in form.

Reorder terms.

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

Add and .

Simplify .

Apply the distributive property.

Combine and .

Multiply .

Multiply by .

Multiply by .

Move to the left of .

Write in form.

Reorder terms.

Remove parentheses.

Step 8