Point-Slope Equation Calculator

X1: Y1:
Slope(m):
Equation： =0

Equation: y-y1=k(x-x1)

Where (x1, y1) are the coordinates of a point on the coordinate system that passes through the line, and k is the slope of the line.

Derivation: If the line L1 passes through the point P1(x1, y1) and the slope is k, find the equation of L1.

Let point P(x, y) be any point on the line other than point P1. The slope of the line PP1 should be equal to the slope of the line L1. According to the slope formula of the line passing through two points, k=(y-y1)/(x-x1) (and: x≠x1)

So, line L1: y-y1=k(x-x1)