Question

9) Draw the graph of 2x+y = 6. Identify the coordinate of points where the line intersects​

Answer 1

Step-by-step explanation:

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