Line $k$ lies in the $xy$-plane. The x-intercept of line $k$ is $−4$, and line $k$ passes through the midpoint of the line segment whose endpoints are $(2, 9)$ and $(2, 0)$. What is the slope of line $k$ ?

I understand that how to find the slope but I faced problem to get the two coordinates from the above equation. Can someone draw the picture for me then I will be able to guess the question.

  • $\begingroup$ Are you able to find the slope of a line if you know the coördinates of 2 distinct points lying on it? $\endgroup$ – drhab Sep 29 '13 at 15:07
  • $\begingroup$ Yes i can find that. $\endgroup$ – mathphy Sep 29 '13 at 15:11
  • 1
    $\begingroup$ Then the answer of Shobhit tells you the rest. It is Always handsome to start with someting like $y=ax+b$ and then substite coördinates of points, or slope $a$ if you know it. It gives you equations in $a$ and $b$ that are quite easy to solve. $\endgroup$ – drhab Sep 29 '13 at 15:12
  • $\begingroup$ @drhab its shobhit my friend $\endgroup$ – Shobhit Sep 29 '13 at 15:13

x-intercept of line $k$ is $-4$ it must pass through $(-4,0)$ and the midpoint of $(2,9), (2,0) = (2, \frac92)$

Now use the two point form to find slope.

$$m = \frac{\frac92 - 0}{2-(-4)} = \frac{\frac92}6 = \frac9{12} = \frac34$$


Your Answer

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

Not the answer you're looking for? Browse other questions tagged or ask your own question.