Question

Draw the graph of the equation 2x + y = 6. Shade the region bounded by the graph and the
coordinate axes. Also, find the area of the shaded region.

Answer 1

We have 

2x + y= 6 

y = 6 - 2x     ................ (1)

Putting  x = 3 in (1) , we get y = 6 - 2 × 3 = 0 

Putting  x = 0 in (1) , we get y = 6 - 2 × 0 = 6 

Thus, we obtained the following table giving coordinates of two points on the line
represented by the equation

 2x + y = 6 

x	3	0
y	0	6

The graph of line   2x + y = 6