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

Subtract from both sides of the equation.

Multiply each term in by

Multiply each term in by .

Multiply .

Multiply by .

Multiply by .

Simplify .

Simplify each term.

Multiply by .

Multiply by .

Reorder and .

Using the slope-intercept form, the slope is .

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

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

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

Add and .

Add and .

Find the Parallel Line 4x-y=-8 (0,0)