Find the area of the triangle formed by the lines y = m1x + c1, y = m2x + c2 and x = 0

Given:

   

   

and ,

   

In triangle ABC,

let equations (1), (2) and (3) represent the sides AB, BC and CA, respectively.

Solving (1) and (2), we have

Solving (1) and (3):

   

Thus, AB and CA intersect at A 0,c₁.

Similarly, solving (2) and (3):

   

Thus, BC and CA intersect at C 0,c₂.