Answer
1
Work Step by Step
Setup the integration to find the area between the two lines.
Put both equations as a function of x in terms of y, then integrate
$\int_0^1 [ (2-y)-y]dy$
$\int_0^1(2-2y)dy$, Integrate
$[2y-y^2]_0^1$, Evaluate the definite integral
$(2-1)-(0)$
$1$
