Question

Draw the graph of the following linear equation in two variable : ` x / 2 - y/ 3 = 2`

Answer 1

 We have 

` x / 2 - y/ 3 = 2`

⇒ ` (3x - 2y) /6 = 2`

⇒ ` 3x - 2y - 12` 

⇒ `3x = 12 + 2y`

⇒ `x + (12 + 2y )/3`

 putting   y = - 6 , we get   `x = (12 + 2 (-6 ))/3` = 0 

Putting  y = - 3 , we get  ` x  = (12 + 2 (-3))/3`  = 2 

Putting  y  = 0 we get  `x  = (12 + 0 )/3 ` = 4 

Thus, we get the following table giving the two points on the line represented by the
equation  ` x / 2 - y/ 3 = 2`

 Graph for the equation   ` x / 2 - y/ 3 = 2`