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# If the line passes through the origin, what is the value of k?

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Math Expert
Joined: 02 Sep 2009
Posts: 56357
If the line passes through the origin, what is the value of k?  [#permalink]

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23 Aug 2018, 23:15
00:00

Difficulty:

15% (low)

Question Stats:

79% (01:35) correct 21% (01:27) wrong based on 45 sessions

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If the line passes through the origin, what is the value of k?

A. -8
B. -12.5
C. -18
D. -24.5
E. -28

Attachment:

GMAT_PS_Magoosh_85.png [ 4.28 KiB | Viewed 1033 times ]

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Re: If the line passes through the origin, what is the value of k?  [#permalink]

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23 Aug 2018, 23:24
Bunuel wrote:

If the line passes through the origin, what is the value of k?

A. -8
B. -12.5
C. -18
D. -24.5
E. -28

Attachment:
GMAT_PS_Magoosh_85.png

Equation of line passing through the given points (-4,7) and (14,k) is:

$$y-7=\frac{k-7}{14-(-4)}*(x-(-4))$$

Since this line passes through origin(0,0), hence

$$0-7= \frac{k-7}{18}*(0+4)$$
Or, $$k-7=\frac{-7*18}{4}$$
Or, k=-31.5+7=-24.5

Ans. (D)
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Re: If the line passes through the origin, what is the value of k?  [#permalink]

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24 Aug 2018, 00:16
2
The slope of both points will be the same
k-0/14-0 = 7-0/-4-0
k = -24.5
Re: If the line passes through the origin, what is the value of k?   [#permalink] 24 Aug 2018, 00:16
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