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Bunuel
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LT2018
Could someone explain why the answer is not 1/2?
Thanks a lot!
The slope we are looking for will be between the slope of the red and blue line

Slope of red line = \(\frac{9 - (-9)}{2- (-2)} = 18/4 = 9/2 = 4.5\)
Slope of blue line = \(\frac{5- (-5)}{4- (-4)} = 10/8 = 5/4 = 1.25\)

Only Option C is within the range
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Bunuel

Which of the following could be the slope of a line that passes between points A and B on segment AB and passes between points C and D on segment CD?

A. 1/2
B. 5/4
C. 7/2
D. 9/2
E. 5

slope line AD (most inclined) < slope X < slope line BC (less inclined)
slope line AD (4,5) and (-4,-5) = 5+5/4+4 = 10/8 = 5/4
slope line BC (2,9) and (-2,-9) = 9+9/2+2 = 18/4 = 9/2
5/4 < slope X < 9/2

Answer (C)
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