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)

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

_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372

2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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