Choose a point that the perpendicular line will pass through.

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

Using the slope-intercept form, the slope is .

The equation of a perpendicular line to must have a slope that is the negative reciprocal of the original slope.

Move the negative in front of the fraction.

Multiply .

Multiply by .

Multiply by .

Using the point-slope form , plug in , , and .

Solve for .

Add and .

Simplify .

Add and .

Combine and .

Reorder terms.

Find Any Equation Perpendicular to the Line y=-8x+8