Question

Shade the triangular region formed by the graphs of the linear equations 2x + y = 6 and 2x - y + 2 = 0 and the x- axis. Write the coordinates of the vertices of the triangle and find its area.

Answer 1

Answer:

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