,

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

Subtract from both sides of the equation.

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.

Simplify .

Apply the distributive property.

Multiply by .

Move all terms not containing to the right side of the equation.

Add to both sides of the equation.

Add and .

Find the Parallel Line 4x+y=5 , (3,8)