Find the area of the region bounded by lines I have two similar problems, finding the area of the region bounded by lines:


*

*$y=x, y=2-x$ and $y=0$

*$y=x+1$ and $y=\frac{x}{2}$, $x=0$ and $x=4$
I remember (not sure) I should equate the two equations for each number but I'm not sure if I'm correct. 
For example in problem #1, $x=2-x$ thus $ x=1 $. 
But I don't know how to proceed for it. Are the points of intersection in the first problem $(1,1)$ and $(0,0)$?

See find intersection points of $[x-y=0,x+y=2],[x-y=0,y=0(x-axis)],[x+y=2,y=0]$ then you get points as $(1,1),(0,0),(2,0)$ so iy forms a triangle with height =$1$ and base =$2$. So its area is $1/2.b.h=1/2.1.2=1$ try same thing for second or use graph paper . You will get it hope its clear.
