Point of intersection of two lines


   
 
Point of intersection of two lines
 
 
 
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.
 
 
     
   
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