Point of Intersection Calculator

Calculate Point of Intersection







Formula

The formulas to calculate the point of intersection are:

\[ x = \frac{a - b}{m2 - m1} \]

\[ y = \frac{a \cdot m2 - b \cdot m1}{m2 - m1} \]

Where:

Point of Intersection Definition

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

Example Calculation

Let's assume the following values:

Using the formulas:

\[ x = \frac{3 - 1}{-1 - 2} = \frac{2}{-3} \approx -0.67 \]

\[ y = \frac{3 \cdot (-1) - 1 \cdot 2}{-1 - 2} = \frac{-3 - 2}{-3} = \frac{-5}{-3} \approx 1.67 \]

The Point of Intersection is approximately (-0.67, 1.67).