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 equations 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.
