Draw the graph of 2x + y = 6 Read two solutions from the graph and verify the same by actual substitution. Also, find the points where the line meets the axes.
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Step-by-step explanation:
2x+y=6⋯(1)
To draw the graph ,we need at least two solutions of the equation
Put x=0 in (1)
2(0)+y=6
⟹y=6
So (0,6) is a solution of the equation
Put y=0 in (1)
2x+0=6
⟹2x=6
⟹x=3
So (3,0) is a solution of the equation
The area enclosed by the line with coordinate axes is shaded in the graph
The shaded region forms the triangle with base 3 units and height 6 units
Area of the shaded region is
2
1
base×height=
2
1
×3×6=9 sq.units
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