Answer
See graph
Work Step by Step
\[\begin{align}
& 4x+2y+3z=24 \\
& \text{*Set }y=0\text{ and }z=0 \\
& 4x+0+0=24 \\
& x=6 \\
& \text{Plot the point }\left( 6,0,0 \right)\text{ in the plane} \\
& \\
& \text{*Set }x=0\text{ and }z=0 \\
& 0+2y+0=24 \\
& y=12 \\
& \text{Plot the point }\left( 0,12,0 \right)\text{ in the plane} \\
& \\
& \text{*Set }x=0\text{ and }y=0 \\
& 0+0+3z=24 \\
& z=8 \\
& \text{Plot the point }\left( 0,0,8 \right)\text{ in the plane} \\
& \\
& \text{Joining the points }\left( 6,0,0 \right),\left( 0,12,0 \right),\left( 0,0,8 \right)\text{ we obtain:} \\
& \text{Graph} \\
\end{align}\]