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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
In the standard xy-coordinate plane, the xy-pairs (0, 2) and
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25 Mar 2020, 02:04
25 Mar 2020, 02:04
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In the standard xy-coordinate plane, the xy-pairs (0, 2) and (2, 0) define a line, and the xy-pairs (-2, -1) and (2, 1) define another line. At which of the following points do the two lines intersect?
(A) \([\frac{4}{3}, \frac{2}{3}]\)
(B) \([\frac{3}{2}, \frac{4}{3}]\)
(C) \([-\frac{1}{2}, \frac{3}{2}]\)
(D) \([\frac{3}{4}, -\frac{2}{3}]\)
(E) \([-\frac{3}{4}, -\frac{2}{3}]\)
(A) \([\frac{4}{3}, \frac{2}{3}]\)
(B) \([\frac{3}{2}, \frac{4}{3}]\)
(C) \([-\frac{1}{2}, \frac{3}{2}]\)
(D) \([\frac{3}{4}, -\frac{2}{3}]\)
(E) \([-\frac{3}{4}, -\frac{2}{3}]\)
Re: In the standard xy-coordinate plane, the xy-pairs (0, 2) and
[#permalink]
25 Mar 2020, 03:06
25 Mar 2020, 03:06
2
I don't know if it is the best methods, but it surely gets you to the right answer. First, you find the slope of both lines with the formula y2-y1/x2-x1. Then you find the Y-intercept of both lines. Finally, you have two equations in this format y = ax + b and you put them equal and find x = 4/3 then you plug x into one of the two-equation and find y = 2/3
Senior Manager
Joined: 23 Jan 2021
Posts: 294
Given Kudos: 81
Concentration: , International Business
Re: In the standard xy-coordinate plane, the xy-pairs (0, 2) and
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14 Jun 2021, 21:47
14 Jun 2021, 21:47
mike1917 wrote:
I don't know if it is the best methods, but it surely gets you to the right answer. First, you find the slope of both lines with the formula y2-y1/x2-x1. Then you find the Y-intercept of both lines. Finally, you have two equations in this format y = ax + b and you put them equal and find x = 4/3 then you plug x into one of the two-equation and find y = 2/3
Yes, It might be. But plotting these point on number line can give you answer fastly. Try it once.
