Point of intersection of two lines

Ask a Question, Get an Answer!

Type your question here

Hundreds of tutors are online and ready to help you right now!

Then (x₁, y₁) lies on both (i) and (ii).

Solving for x₁ and y₁ by the method of cross multiplication, we obtain

Hence the point of intersection is Thus, the point of intersection is obtained by solving the two given equations.

 

Remark:

(i) and (ii) are not parallel if they intersect their slopes are not equal.

(ii) If a1b2 - a2b1 = 0, then the coordinates of the points of intersection is not defined. In this case the lines are parallel.