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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

Table of Contents:

    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