Intersection of two Lines Given End Points of Two Lines

Equation of line is given by

Y = MX + C

Where M = Slope of a Line and C = Intercept

To Find the slope of a line if (x1, y1) and (x2, y2) are given, M

M = (y2 – y1) / (x2 – x1)

M = (y2 - y1) / (x2 - x1)

Intercept of the line if  C is given by

C = y1 - (M) * x1

If the difference between the slope of two lines are ZERO, then there is no intersection. Otherwise to find the intersecting point we have to solve the below euqations

1. Y = M₁X + C₁
2. Y = M₂X + C₂

At intersection point

M₁X + C₁ = M₂X + C₂

Therefore

intersection_X = (C₂ – C₁) / (M₁ – M₂);

intersection_Y = M₁ * intersection_X + C₁;