Question

Find the co ordinates of the vertices and the area of the triangle enclosed by the y axis and the graphs of x +3y=12 and x-3y=0 ​

Answer 1

Step-by-step explanation:

x+3y=6⇒ when x=0y=2⇒(0,2)

when y=0x=6⇒(6,0)

2x−3y=12⇒x=0y=−4⇒(0,−4)

y=0x=6⇒(6,0)

Are of shaded part =

2

1

×4×6

=12 units.