Answer
A plane.
Work Step by Step
1. the function is linear, the graph is a plane.
2. Find intercepts with the axes:
$x=0:\qquad$ $z=10-5y$
$(0,2,0)$ and $(0,0,10)$
$y=0:\qquad z=10-4x$
$(2.5,0,0)$ and $(0,0,10)$
Use parallel lines through intercepts to sketch the plane.
