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In a rectangular coordinate system, which of the following p
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29 Jul 2020, 10:51
29 Jul 2020, 10:51
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Question Stats:
73% (02:08) correct
26% (02:41) wrong based on 41 sessions
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In a rectangular coordinate system, which of the following points is intersected by the line connected by the coordinates (5,6) and (21,18)?
A. (9,9)
B. (12,12)
C. (13,13)
D. (12,13)
E. (16,15)
Kudos for the right answer and explanation
A. (9,9)
B. (12,12)
C. (13,13)
D. (12,13)
E. (16,15)
Kudos for the right answer and explanation
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Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: In a rectangular coordinate system, which of the following p
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29 Jul 2020, 11:06
29 Jul 2020, 11:06
2
Carcass wrote:
In a rectangular coordinate system, which of the following points is intersected by the line connected by the coordinates (5,6) and (21,18)?
A. (9,9)
B. (12,12)
C. (13,13)
D. (12,13)
E. (16,15)
Kudos for the right answer and explanation
A. (9,9)
B. (12,12)
C. (13,13)
D. (12,13)
E. (16,15)
Kudos for the right answer and explanation
One approach is to first find the slope
Slope = (18 - 6)/(21 - 5) = 12/16 = 3/4
IMPORTANT: if the slope is 3/4, then we can start at (5,6) and move up 3 spaces and then move right 4 spaces to find other points on the line (with INTEGER values)
Start at: (5,6)
Move 3 units up and 4 units to the right to get to the point (9,9) (check answer choices - it's there!)
Answer: A
Cheers ,
Brent
Re: In a rectangular coordinate system, which of the following p
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29 Jul 2020, 11:30
29 Jul 2020, 11:30
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Equation of line passing from (5,6) and (21,18) can be written as
(y - 6)/(x - 5) = (18 - 6)/(21 - 5) = 12/16 = 3/4
=> 4y - 24 = 3x - 15
=> 4y = 3x + 9
Option A (9,9) satisfies this equation.
So, the answer is A.
(y - 6)/(x - 5) = (18 - 6)/(21 - 5) = 12/16 = 3/4
=> 4y - 24 = 3x - 15
=> 4y = 3x + 9
Option A (9,9) satisfies this equation.
So, the answer is A.
