Two point form calculator – equation of a straight line

Two Point Form is used to generate the Equation of a straight line passing through the two given points.
Two Points form Calculator
X1: Y1:
X2: Y2:
       
Equation :
Formula
Two point Form
(y-y1/y2-y1 = x-x1/x2-x1)
Examples:
Find the equation of the line joining the points (3, 4) and (2, -5).
x1 = 3, y1 = 4,
x2 = 2, y2 = -5

Apply Formula:
(y-y1/y2-y1 = x-x1/x2-x1)
(y-4/-5-4 = x-3/2-3)
(y-4/-9 =x-3/-1)
-1(y-4) = -9(x-3)
1(y-4) = 9(x-3)
y-4 = 9x – 27
y-9x = -27 + 4
y-9x = -23
9x-y=23

Therefore equation of the line is 9x-y=23