Chapter 9 - Multiveriable Calculus - 9.1 Functions of Several Variables - 9.1 Exercises - Page 467: 5

See graph

\[\begin{align} & x+y+z=9 \\ & \text{*Set }y=0\text{ and }z=0 \\ & x+0+0=9 \\ & x=9 \\ & \text{Plot the point }\left( 9,0,0 \right)\text{ in the plane} \\ & \\ & \text{*Set }x=0\text{ and }z=0 \\ & 0+y+0=9 \\ & y=9 \\ & \text{Plot the point }\left( 0,9,0 \right)\text{ in the plane} \\ & \\ & \text{*Set }x=0\text{ and }y=0 \\ & 0+0+z=9 \\ & z=9 \\ & \text{Plot the point }\left( 0,0,9 \right)\text{ in the plane} \\ & \\ & \text{Joining the points }\left( 9,0,0 \right),\left( 0,9,0 \right),\left( 0,0,9 \right)\text{ we obtain:} \\ & \text{Graph} \\ \end{align}\]