Find the Center of Mass of a Thin Plate Covering $y = - x + 8$

Multiple Choice

Find the center of mass of a thin plate covering the given region with the given density function.
-The triangular region cut from the first quadrant by the line $y = - x + 8$ , with density $\delta ( x ) = x$

A) $\bar { x } = 2 , \bar { y } = 2$
B) $\bar { x } = 2 , \bar { y } = 4$
C) $\bar { x } = 4 , \bar { y } = 2$
D) $\bar { x } = 4 , \bar { y } = 4$