Question

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

Answer 1

 We have 

  `(x-2)/3 = y - 3`

⇒ ` x - 2 = 3  (y -3) `

⇒ ` x - 2 = 3y - 9 `

⇒ ` x = 3y - 9 + 2` 

⇒ `x = 3y - 7`

Putting  y = 0 , we get   x - 0  = -7 ⇒ x = - 7 

Putting  y = 2 , we get  x - 3 (2) = - 7 ⇒ x =-1

Putting  y = 3  , we get  x = 3  ( 3)  - 7 ⇒ x = 2 

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

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