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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.
Solution
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
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