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In the xy-plane, if lines a and b intersect at point (5,–2) and lines

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Bunuel
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In the xy-plane, if lines a and b intersect at point (5,–2) and lines [#permalink] In the xy-plane, if lines a and b intersect at point (5,–2) and lines   16 Dec 2020, 03:15
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In the xy-plane, if lines a and b intersect at point (5,–2) and lines b and c intersect at point (–3,3), what is the slope of line b ?

(A) −5/2
(B) −5/8
(C) −2/5
(D) 1/2
(E) It cannot be determined from the information given.
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B
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Re: In the xy-plane, if lines a and b intersect at point (5,–2) and lines [#permalink] In the xy-plane, if lines a and b intersect at point (5,–2) and lines   16 Dec 2020, 10:55
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Bunuel wrote:
In the xy-plane, if lines a and b intersect at point (5,–2) and lines b and c intersect at point (–3,3), what is the slope of line b ?

(A) −5/2
(B) −5/8
(C) −2/5
(D) 1/2
(E) It cannot be determined from the information given.



Line b passes through the points (5,-2) and (3,-3).

the slope of the line is given by \(m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - (-2)}{3 - 5} = \frac{-1}{-2} = \frac{1}{2}\)


Option D

Arun Kumar
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Re: In the xy-plane, if lines a and b intersect at point (5,–2) and lines [#permalink] In the xy-plane, if lines a and b intersect at point (5,–2) and lines   23 Jan 2021, 20:02
The second point is (-3;3), so it will be 3-(-2)/-3-5=-5/8

Option B

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Re: In the xy-plane, if lines a and b intersect at point (5,–2) and lines [#permalink] In the xy-plane, if lines a and b intersect at point (5,–2) and lines   23 Jan 2021, 20:59
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CrackVerbalGMAT wrote:
Bunuel wrote:
In the xy-plane, if lines a and b intersect at point (5,–2) and lines b and c intersect at point (–3,3), what is the slope of line b ?

(A) −5/2
(B) −5/8
(C) −2/5
(D) 1/2
(E) It cannot be determined from the information given.



Line b passes through the points (5,-2) and (3,-3).

the slope of the line is given by \(m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - (-2)}{3 - 5} = \frac{-1}{-2} = \frac{1}{2}\)


Option D

Arun Kumar


Hi Arun,

You are a well-known educator and a brand student look upto.
Please, correct the answer as the b and c intersection point is (–3,3)
Answer is (B)
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Re: In the xy-plane, if lines a and b intersect at point (5,–2) and lines [#permalink]
23 Jan 2021, 20:59
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Bunuel
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