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;