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# The slope of the line passing through the point (5,5) is 5/6. All of

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Math Expert
Joined: 02 Sep 2009
Posts: 49993
The slope of the line passing through the point (5,5) is 5/6. All of  [#permalink]

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16 May 2016, 02:43
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9
00:00

Difficulty:

45% (medium)

Question Stats:

64% (01:55) correct 36% (01:56) wrong based on 282 sessions

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The slope of the line passing through the point (5,5) is 5/6. All of the following points could be on the line except

A. (2.5, 2)
B. (11, 10)
C. (8, 7.5)
D. (-1, 0)
E. (-7, -5)

Attachment:

p005-6.gif [ 566 Bytes | Viewed 19031 times ]

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Math Expert
Joined: 02 Aug 2009
Posts: 6958
The slope of the line passing through the point (5,5) is 5/6. All of  [#permalink]

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16 May 2016, 04:51
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2
Bunuel wrote:

The slope of the line passing through the point (5,5) is 5/6. All of the following points could be on the line except

A. (2.5, 2)
B. (11, 10)
C. (8, 7.5)
D. (-1, 0)
E. (-7, -5)

Attachment:
p005-6.gif

Hi,
SLOPE = $$\frac{(y_2 - y_1)}{(x_2 - x_1)} = \frac{5}{6}$$...

one set of coord is (5,5) and other is given in the choices, so lets test the choices

A. (2.5, 2) .......... $$\frac{5-2}{5-2.5}= \frac{3}{2.5} = \frac{6}{5}\neq{\frac{5}{6}}$$... ANSWER
B. (11, 10) .......... $$\frac{5-10}{5-11}= \frac{-5}{-6} = \frac{5}{6}={\frac{5}{6}}$$
C. (8, 7.5) .......... $$\frac{5-7.5}{5-8}= \frac{-2.5}{-3} = \frac{5}{6}={\frac{5}{6}}$$
D. (-1, 0) .......... $$\frac{5-0}{5-(-1)}= \frac{5}{6} = \frac{5}{6}={\frac{5}{6}}$$
E. (-7, -5) .......... $$\frac{5-(-5)}{5-(-7)}= \frac{10}{12} = \frac{5}{6}={\frac{5}{6}}$$

A
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##### General Discussion
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Joined: 12 Jun 2015
Posts: 79
Re: The slope of the line passing through the point (5,5) is 5/6. All of  [#permalink]

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16 May 2016, 03:27
The slope-point form of equation with point (a,b) and slope m : (y - a) = m(x - a)

Thus for this particular graph, our equation is
(y - 5) = 5/6 * (x - 5)
On rearranging,
-5x + 6y = 5

Now, we can check which of the options doesn't agree with the above equation

Option A. (2.5, 2) doesn't satisfies the equation
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Re: The slope of the line passing through the point (5,5) is 5/6. All of  [#permalink]

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26 Jul 2018, 15:37
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: The slope of the line passing through the point (5,5) is 5/6. All of &nbs [#permalink] 26 Jul 2018, 15:37
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