Algorithm for intersection of 2 lines?

Question

I have 2 lines. Both lines containing their 2 points of X and Y. This means they both have length.

I see 2 formulas, one using determinants and one using normal alge

Answer 1

Assuming you have two lines of the form Ax + By = C, you can find it pretty easily:

float delta = A1 * B2 - A2 * B1;

if (delta == 0) 
    throw new ArgumentException("Lines are parallel");

float x = (B2 * C1 - B1 * C2) / delta;
float y = (A1 * C2 - A2 * C1) / delta;

Pulled from here