Question

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

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

x+4=y-5,z=2