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16 Feb 2022, 04:00
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Difficulty:
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Question Stats:
93% (00:44) correct
7%
(00:47)
wrong
based on 68
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What is the slope of line m in the figure above?
(1) w – q = 14
(2) p – v = −15
Attachment:
1.jpg [ 6.24 KiB | Viewed 2324 times ]
16 Feb 2022, 07:31
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Bunuel
What is the slope of line m in the figure above?
(1) w – q = 14
(2) p – v = −15
Attachment:
1.jpg
Target question: What is the slope of line m
Note: From the given figure, we can see that the slope of line \(m = \frac{w-q}{v-p}\)
So, the target question is really asking us to find the value of \(\frac{w-q}{v-p}\)
Statement 1: w – q = 14
This statement that tells us the value of the numerator in \(\frac{w-q}{v-p}\), but it provides no information about the denominator.
Statement 1 is NOT SUFFICIENT
Statement 2: p – v = −15
Multiply both sides of the equation by (-1) to get: -p + v = 15
Rearrange to get: v - p = 15
So, statement 2 tells us the value of the denominator in \(\frac{w-q}{v-p}\), but it provides no information about the numerator .
Statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
Statement 1 tells us the value of the numerator in \(\frac{w-q}{v-p}\).
Statement 2 tells us the value of the denominator in \(\frac{w-q}{v-p}\).
So, the statements COMBINED provide sufficient information to find the slope of the line.
Answer: C
Cheers,
Brent
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16 Feb 2022, 12:22
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(1) w-q = 14 only tells us that the two points lie on two straight lines parallel to x-axis 14 units apart. How is the line inclined between these two parallel lines is not known. Insufficient.
(2) p-v=(-15) only tells us that the two points lie on two straight lines parallel to y-axis 15 units apart. How is the line inclined between these two parallel lines is not known. Insufficient.
Combining the two statements:
We know the formula for slope of the line = (w-q)/(v-p) = -14/15
Hence, C.
Posted from my mobile device
(2) p-v=(-15) only tells us that the two points lie on two straight lines parallel to y-axis 15 units apart. How is the line inclined between these two parallel lines is not known. Insufficient.
Combining the two statements:
We know the formula for slope of the line = (w-q)/(v-p) = -14/15
Hence, C.
Posted from my mobile device
