Chapter 9 - Multiveriable Calculus - 9.1 Functions of Several Variables - 9.1 Exercises - Page 467: 7

See graph

\[\begin{align} & 2x+3y+4z=12 \\ & \text{*Set }y=0\text{ and }z=0 \\ & 2x=12 \\ & x=6 \\ & \text{Plot the point }\left( 6,0,0 \right)\text{ in the plane} \\ & \\ & \text{*Set }x=0\text{ and }z=0 \\ & 0+3y+0=12 \\ & y=4 \\ & \text{Plot the point }\left( 0,4,0 \right)\text{ in the plane} \\ & \\ & \text{*Set }x=0\text{ and }y=0 \\ & 0+0+4z=12 \\ & z=3 \\ & \text{Plot the point }\left( 0,0,3 \right)\text{ in the plane} \\ & \\ & \text{Joining the points }\left( 6,0,0 \right),\left( 0,4,0 \right),\left( 0,0,3 \right)\text{ we obtain:} \\ & \text{Graph} \\ \end{align}\]