BTGModeratorVI wrote: ↑Thu Jun 18, 2020 5:42 am
In the rectangular coordinate system, a line passes through the points (0,5) and (7,0). Which of the following points must the line also pass through?
A)(-14, 10)
B)(-7, 5)
C)(12, -4)
D)(14, -5)
E)(21, -9)
Answer:
D
Source: Manhattan prep
The point that lies on the lines joining the points (0,5) and (7,0) and one between the points (0,5) and (7,0) would have the same slope as that of the points (0,5) and (7,0).
So, let's first calculate the slope of the points (0,5) and (7,0).
m = slope = (0 – 5)/(7 – 5) = –5/2
Taking a point (0, 5), let's take each option one by one.
A)(-14, 10)
m = slope = (10 – 5)/(–14 – 0) = –5/14 ≠ –5/2. Not the correct answer.
B)(-7, 5)
m = slope = (5 – 5)/(–7 – 0) = 0 ≠ –5/2. Not the correct answer.
C)(12, -4)
m = slope = (–4 – 5)/(12 – 0) = –9/12 = –3/4 ≠ –5/2. Not the correct answer.
D)(14, -5)
m = slope = (–5 – 5)/(14 – 0) = –10/14 = – ≠ –5/2. Not the correct answer.
E)(21, -9)
m = slope = (–9 – 5)/(21 – 0) = –14/21 = –2/3 ≠ –5/2. Not the correct answer.
None of the above is the correct answer. Sees there's a typo.
Hope this helps!
-Jay
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