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

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

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New post 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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New post 15 Nov 2019, 23:26
Bunuel wrote:
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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.

Answer: B.


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 ?
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Re: In the coordinate system above, which of the following is the equation   [#permalink] 15 Nov 2019, 23:26

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

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