Enter the point-slope form of two non-parallel lines into the calculator. The calculator will display the intersection coordinates of those two lines.

Point of Intersection Formula

Given two equation in the forms:



The following 2 equations are used to calculate the intersection point.

x = (a-b)/(m2-m1)

y= (a*m2-b*m1)/(m2-m1)

  • Where a and b are the constants on the point-slope forms of each line
  • m1 and m2 are the slopes of each line

Point of Intersection Definition

A point of intersection is defined as the coordinate location at which two lines intersect.

Point of Intersection Example

How to calculate the intersection of two lines

  1. First, determine the slopes of each line.

    This can be calculated using the formula rise over run, or y/x.

  2. Next, determine the constants a and b.

    These values can be calculated by using a point-slope form equation.

  3. Calculate the intersection points.

    Calculate the x and y coordinates of the intersection points using the two formulas presented.


What is a point of intersection?

A point of intersection is the location or coordinate point at which non-parallel lines meet.