Point Slope Form Calculator


This online Point Slope Form Calculator finds the equation of a straight line using known coordinates of a point (x1, y1) and slope m on the two-dimensional Cartesian coordinate plane. The graphical representation of the found linear equation is also displayed.


y – y1 = m (x – x1)

Coordinate x1:
Coordinate y1:
Slope m:

Line Equation


What is Point Slope Form?

Point slope form is a form of a linear equation that uses three parameters – two coordinates of a point on the line (x1, y1), and the slope of the line m. The point slope form equation is:

y – y1 = m (x – x1).

From this formula it’s clear that the slope of a line can be computed from the coordinates of any two points.

The canonical form (also known as slope–intercept form) of the linear equation can be easily found using the above parameters:

y = mx + (y1 – mx1).

The point-slope form of a line is very useful in calculus to find slope in case the derivative is known.


Related calculators

Check out our other algebra calculators such as 2×2 System of Linear Equations Calculator or 3×3 System of Linear Equations Calculator.