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:

y=m1x+a

y=m2x+b

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

**First, determine the slopes of each line.**This can be calculated using the formula rise over run, or y/x.

**Next, determine the constants a and b.**These values can be calculated by using a point-slope form equation.

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

## FAQ

**What is a point of intersection?**

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