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Which of the following points in the coordinate plane lies o
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04 Oct 2018, 16:44
04 Oct 2018, 16:44
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Which of the following points in the coordinate plane lies on the line y = 2x – 8?
Indicate all such points.
A. \((3, -2)\)
B. \((-8, 0)\)
C. \((\frac{1}{2}, -7)\)
Indicate all such points.
A. \((3, -2)\)
B. \((-8, 0)\)
C. \((\frac{1}{2}, -7)\)
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Re: Which of the following points in the coordinate plane lies o
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10 Oct 2018, 10:46
10 Oct 2018, 10:46
2
sandy wrote:
Which of the following points in the coordinate plane lies on the line y = 2x – 8?
Indicate all such points.
A. \((3, -2)\)
B. \((-8, 0)\)
C. \((\frac{1}{2}, -7)\)
Indicate all such points.
A. \((3, -2)\)
B. \((-8, 0)\)
C. \((\frac{1}{2}, -7)\)
Key Concept: If a point lies on a given line, then the x- and y-coordinates of that point must satisfy the equation of that line
So, let's check each answer choice...
(A) (3, -2)
Plug x = 3 and y = -2 into the given equation y = 2x – 8
We get: -2 = 2(3) - 8
Evaluate right side to get: -2 = 6 - 8
Perfect! Since the coordinates satisfy the equation of the line, we know that (3, -2) lies ON the line
(B) (-8, 0)
Plug x = -8 and y = 0 into the given equation y = 2x – 8
We get: 0 = 2(-8) - 8
Evaluate right side to get: 0 = -16 - 8
No good.
Since the coordinates DO NOT satisfy the equation of the line, we know that (-8, 0) does NOT lie on the line
(C) (1/2, -7)
We get: -7 = 2(1/2) - 8
Evaluate right side to get: -7 = 1 - 8
Perfect! Since the coordinates satisfy the equation of the line, we know that (1/2, -7) lies ON the line
Answer: A and C
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Re: Which of the following points in the coordinate plane lies o
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11 Dec 2023, 10:06
11 Dec 2023, 10:06
Hello from the GRE Prep Club BumpBot!
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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