Question

Draw the graph of the equatio ` x / y + y /4 = 1` Also, find the area of the triangle formed by the
line and the co-ordinates axes.

Answer 1

` x / y + y /4 = 1`

⇒ 4x + 3y  = 12 

⇒ 4x = 12 - 3y

⇒ ` x = ( 12 - 3y) / 4`

Putting y = 0 in (1) , we get ` x = (12 - 3 × 0 ) /4` = 3

Putting  y  = - 4 in (2) We get ` x = (12 - 3× 4 )/ 4` = 0

Thus, we obtained the following table giving coordinates of two points on the line represents by the equation  ` x/3 +y / 4` = 1

x	0	3
y	4	0

The graph of line  ` x/3 +y / 4` = 1