Perpendicular Line Calculator
Calculate perpendicular lines, slopes, and find equations of perpendicular lines.
Original Line (from two points)
Point for Perpendicular Line
Line Equations
Original Line:
y = 0.5000x + 0.0000
Perpendicular Line:
y = -2.0000x + 10.0000
Original Slope
0.5000
Perpendicular Slope
-2.0000
Perpendicular slope = -1 / original slope (negative reciprocal)
Line Properties
Angle Between Lines90 (perpendicular)
Distance to Original Line2.2361
Intersection Point(4.0000, 2.0000)
Product of Slopes-1.0000 (should be -1)
Perpendicular Verification
For perpendicular lines:
m1 * m2 = -1
0.5000 * -2.0000 = -1.0000
Lines are perpendicular!
Perpendicular Line Formulas
Perpendicular Slope
m_perp = -1 / m_original
The perpendicular slope is the negative reciprocal of the original slope.
Perpendicular Line Equation
y - y1 = m_perp(x - x1)
Point-slope form using the perpendicular slope and a given point.