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.

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

Solve for .

Subtract from .

Simplify .

Subtract from .

Combine and .

Reorder terms.

Remove parentheses.

Find Any Equation Perpendicular to the Line y=5x-7