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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.

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Are you able to find the slope of a line if you know the coördinates of 2 distinct points lying on it? –  drhab Sep 29 '13 at 15:07
    
Yes i can find that. –  mathphy Sep 29 '13 at 15:11
1  
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. –  drhab Sep 29 '13 at 15:12
    
@drhab its shobhit my friend –  Ramanujan Sep 29 '13 at 15:13

1 Answer 1

up vote 2 down vote accepted

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.

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

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Thanks I can understand it now. –  mathphy Sep 29 '13 at 15:13

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