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If a line passes through the origin and the point (3, d), wh
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Updated on: 28 Mar 2019, 04:35
Updated on: 28 Mar 2019, 04:35
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85% (01:18) correct
14% (04:00) wrong based on 7 sessions
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If a line passes through the origin and the point (3, d), where 3 < d < 6, which of the following could be the slope of the line?
A. 1
B. 5/4
C. 4/3
D. 3/2
E. 5/3
F. 7/4
G. 2
A. 1
B. 5/4
C. 4/3
D. 3/2
E. 5/3
F. 7/4
G. 2
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Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If a line passes through the origin and the point (3, d), wh
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27 Mar 2019, 07:29
27 Mar 2019, 07:29
2
alamin wrote:
If a line passes through the origin and the point (3, d), where 3 < d < 6, which of the following could be the slope of the line?
A. 1
B. 54
C. 43
D. 32
E. 53
F. 74
G. 2
A. 1
B. 54
C. 43
D. 32
E. 53
F. 74
G. 2
Let's examine the two EXTREME cases: d = 3 and d = 6
For each extreme case, we'll apply the slope formula using the given coordinates AND (0, 0), the coordinates of the origin.
Case i: d = 3
So, the coordinates are (3,3)
Slope = (3 - 0)/(3 - 0) = 3/3 = 1
Case ii: d = 6
So, the coordinates are (3,6)
Slope = (6 - 0)/(3 - 0) = 6/3 = 2
Do, the slope must be BETWEEN 1 and 2
Check the answer choices . . . . hmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Is the question correctly transcribed?
Re: If a line passes through the origin and the point (3, d), wh
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24 Apr 2021, 21:53
24 Apr 2021, 21:53
1
Slope must lie between 1 and 2 considering the extremes (3/3 and 6/3).
Except A and G, all lie between 1 and 2.
Except A and G, all lie between 1 and 2.
