Question

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.​

Answer 1

Answer:

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Answer 2

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