Which of the three coordinate planes does the line given by $x=16t, y=-4-9t, z=34$ intersect?

I am confused where to start with this question. I was thinking maybe to solve $t$ from equation of $y$ but I am unsure.

  • 2
    $\begingroup$ For example, to see if it intersects the $y$-$z$ plane, this is when the other variable is $0$, i.e. $x=0$. So you need to see if $x=0$ is possible on your line. Similarly for the other two coordinate planes. $\endgroup$ – Minus One-Twelfth Mar 21 at 22:52
  • $\begingroup$ Oh okay, thank you $\endgroup$ – user221435 Mar 21 at 22:54
  • $\begingroup$ HINT: If $z=34$, the line is contained in a plane parallel to the $xy$-plane. $\endgroup$ – Ted Shifrin Mar 22 at 0:09

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.