# Find Any Equation Perpendicular to the Line y=1/4x-1

Choose a point that the perpendicular line will pass through.
Combine and .
Use the slope-intercept form to find the slope.
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.
Simplify to find the slope of the perpendicular line.
Multiply the numerator by the reciprocal of the denominator.
Multiply by .
Multiply by .
Find the equation of the perpendicular line using the pointslope formula.
Using the point-slope form , plug in , , and .
Solve for .
Subtract from .
Subtract from .
Find Any Equation Perpendicular to the Line y=1/4x-1