Chapter 7

In Problems , find parametric equations for the line through the indicated point that is parallel to the given planes. $$ \begin{gathered} 2 x+z=0 \\ -x+3 y+z=1 ; \quad(-3,5,-1) \end{gathered} $$

In Problems find an equation of the plane that contains the given line and is orthogonal to the indicated plane. $$ x=4+3 t, y=-t, z=1+5 t ; x+y+z=7 $$

In Problems find an equation of the plane that contains the given line and is orthogonal to the indicated plane. $$ \frac{2-x}{3}=\frac{y+2}{5}=\frac{z-8}{2} ; 2 x-4 y-z+16=0 $$

In Problems, graph the given equation. $$ 3 x+2 z=9 $$

In Problems, graph the given equation. $$ 3 x+4 y-2 z-12=0 $$

In Problems, graph the given equation. $$ -x+2 y+z=4 $$

In Problems, graph the given equation. $$ x-y-1=0 $$