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26 May 2021, 02:30
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If the equation of line m is y = −x + 5, what is the slope of line k (not shown)?
(1) Line k is perpendicular to line m.
(2) Line k passes through the origin.
Attachment:
1.png [ 5.21 KiB | Viewed 2558 times ]
26 May 2021, 06:24
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(1) Means that line k has a slope that is the negative reciprocal of y = −x + 5, which means line k has a reciprocal of 1. Sufficient.
(2) Not enough information as line k could be parallel, perpendicular or an x or y axis. Insufficient
Answer A
(2) Not enough information as line k could be parallel, perpendicular or an x or y axis. Insufficient
Answer A
29 May 2021, 12:43
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Bunuel
If the equation of line m is y = −x + 5, what is the slope of line k (not shown)?
(1) Line k is perpendicular to line m.
(2) Line k passes through the origin.
Attachment:
1.png
Statement 1:
The slope of m is -1. When two lines are perpendicular, the product of their slopes is -1. Thus the slope of k would be \(\frac{-1}{-1} = 1\). Sufficient.
Statement 2:
The only thing we know about line k is it passes through the origin. Insufficient.
Ans: A
