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# In the coordinate system above, which of the following is the equation

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Joined: 07 Sep 2019
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Location: Viet Nam
Concentration: Marketing, Strategy
WE: Brand Management (Consumer Products)
In the coordinate system above, which of the following is the equation  [#permalink]

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12 Nov 2019, 12:58
line (l): ax + by = c (same as answer choice form)

(3,0) is on line (l): 3a = c
(0,2) is on line (l): 2b = c
=> 3a = 2b
=> a/b = 2/3
fits (B)

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Re: In the coordinate system above, which of the following is the equation  [#permalink]

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15 Nov 2019, 23:26
Bunuel wrote:

In the coordinate system above, which of the following is the equation of line l ?

(A) 2x - 3y = 6
(B) 2x + 3y = 6
(C) 3x + 2y = 6
(D) 2x - 3y = -6
(E) 3x - 2y = -6

Notice that line l passes through points (3,0) and (0,2), so its slope is $$m=\frac{y_2-y_1}{x_2-x_1}=-\frac{2}{3}$$ (given two points $$(x_1,y_1)$$ and $$(x_2,y_2)$$ on a line, the slope $$m$$ of the line is $$m=\frac{y_2-y_1}{x_2-x_1}$$).

Only option B, when written in $$y=mx+b$$ form has the slope of -2/3.

can we assume initially that line is passing from 2nd QD to 4th QD so the slope should be neagtive and B & C are the only options satisfying it and then substitute the values of (3,0) and (0,2) to solve it ?
Re: In the coordinate system above, which of the following is the equation   [#permalink] 15 Nov 2019, 23:26

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