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In the xy-coordinate plane, the points (a, b ) and (a + k, b 3) are
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26 Sep 2022, 04:44
26 Sep 2022, 04:44
Expert Reply
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Question Stats:
93% (01:11) correct
6% (01:23) wrong based on 15 sessions
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In the xy-coordinate plane, the points (a, b ) and (a + k, b – 3) are on the line defined by y = 2x – 5. What is the value of k ?
(A) -5/2
(B) -5/3
(C) -3/2
(D) -2/3
(E) -2/5
(A) -5/2
(B) -5/3
(C) -3/2
(D) -2/3
(E) -2/5
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022) - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
Re: In the xy-coordinate plane, the points (a, b ) and (a + k, b 3) are
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10 Oct 2022, 13:28
10 Oct 2022, 13:28
Expert Reply
Since there is a specific rule which leads to a straightforward calculation, we'll just use it.
This is a Precise approach.
When we're given two points, we can calculate the slope of the line through them with (y2 - y1)/(x2 - x1).
So, 2 = (b - 3 - b)/(a + k - a) = -3/k.
Then k = -3/2.
(C) is our answer.
This is a Precise approach.
When we're given two points, we can calculate the slope of the line through them with (y2 - y1)/(x2 - x1).
So, 2 = (b - 3 - b)/(a + k - a) = -3/k.
Then k = -3/2.
(C) is our answer.
gmatclubot
Re: In the xy-coordinate plane, the points (a, b ) and (a + k, b 3) are [#permalink]
10 Oct 2022, 13:28
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