Find the equation of the line that passes through (-4,5,2) and is parallel to both the xz-plane and yz-plane. i got y-5=0 y=5 x+4=0 x=-4

Question

zaxoanl · Answer

is (x+4)+(y-5)+(z-2)= 0   the equation?

eliesaab · Answer

No, the equation in parametric form is
$$
x=-4\
y=5\
z=?
$$
Can you finish it?

zaxoanl · Answer

@eliesaab  so x=-4  y=5  and z=2    is the answer to the entire question?

zaxoanl · Answer

not sure if that answer the entire question because it seems like it has 2 part

eliesaab · Answer

No the equation is x =-4 y=5 and z=t where $ -\infty  < t < \infty$

eliesaab · Answer

x=-4 y=5 and z=2 is only one point and not a whole line

zaxoanl · Answer

oh ok if the says xy  and zy plane, would it be x=-4   y=t  and z=2?

sshayer · Answer

x+4=y-5,z=2