Draw the graph of 2x + y = 6. Shade the region bounded by the graph and the coordinate axis. i) Write the coordinates of point where this line intersects coordinate axes. ii) Use this graph to find the area of the shaded portion.
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ANSWER
2x+y=6
putx=0
y=6
putx=1
y=4
putx=2
y=2
and2x−y+2=0
puty=0
x=1
putx=0
y=2
putx=2
y=6
andx−y=0
x=0,y=0
x=1,y=1
x=2,y=2
Area of bounded region
2
1
[1(−2−2)−2(2−4)+2(4+2)]
2
1
[−4+4+12]
6sq.unit
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