Choose a point that the perpendicular line will pass through.
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Add to both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify each term.
Dividing two negative values results in a positive value.
Divide by .
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 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 .
Find the equation of the perpendicular 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.
Write in form.
Find Any Equation Perpendicular to the Line 2x-3y-9=0