Question

Draw the graph of the equation given below. Also, find the coordinates of the point
where the graph cuts the coordinate axes :  6x − 3y = 12

Answer 1

we have 

          6x − 3y = 12

⇒       3 (2x - y ) = 12

⇒        2x - y = 4 

⇒        2x - 4 = y

⇒        y = 2x - 4         ................ (1)

Putting  x = 0 in (1) , we get  y =- 4

Putting  x = 2  in (1) , we get  y = 0

 Thus, we obtain the following table giving coordinates of two points on the line
represented by the equation  6x - 3y = 12