Find the area of the region bounded by the graphs of y = x, y = 6 − 2x, and y = 0.

Question

Find the area of the region bounded by the graphs of y = x, y = 6 − 2x, and y = 0.

 3

6 

9

 None of these

I'm struggling a bit with this question, help is much appreciated!

Answer 1

The area is a triangle and the vertex is at the intersection of the 2 lines, namely (2,2).

The base is 3 (x intercept of the 2nd equation).

The area is .5*3*2=3