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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.

From the given figure, we can see that the line has positive intercept on both the x and y axis. Thus we can eliminate all the options except B and C. Now the intercept on the x-axis is more than 2. For option C, the x-intercept comes as 2, thus the answer has to be B.
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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.

Hi Bunnel...A small query Can we assume (As u have done in your solution) that the line passes through points (3,0) and (0,2). I mean can we safely interpret graphs on the GMAT??Since it is not explicitly stated that the line passes through those two specific points. My approach to the above problem was as follows. What we know from the graph is this x and y co-ordinates of line l are both positive, x co-ordinate is > 2 and y co-ordinate is > 1 Checking answer choices - A, D and E are clearly out since x and y co-ordinates will have opposite signs putting y=0 in choice C x=2 - Incorrect (as x co-ordinate > 2) Only B left Cheers

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.

Hi Bunnel...A small query Can we assume (As u have done in your solution) that the line passes through points (3,0) and (0,2). I mean can we safely interpret graphs on the GMAT??Since it is not explicitly stated that the line passes through those two specific points. My approach to the above problem was as follows. What we know from the graph is this x and y co-ordinates of line l are both positive, x co-ordinate is > 2 and y co-ordinate is > 1 Checking answer choices - A, D and E are clearly out since x and y co-ordinates will have opposite signs putting y=0 in choice C x=2 - Incorrect (as x co-ordinate > 2) Only B left Cheers

OG13 solution makes the same exact assumption "The line is shown going through the points (0,2) and (3,0)..."
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Re: In the coordinate system above, which of the following is [#permalink]
07 Nov 2013, 22:41

Just a different way of approaching the problem... since we know the y-intercept is -c/b when the equation is given in the form ax+by +c =0.. simply use what's on the right side of the equation (it'll turn negative when moved to the left) and divide by b.

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.

Hi Bunnel...A small query Can we assume (As u have done in your solution) that the line passes through points (3,0) and (0,2). I mean can we safely interpret graphs on the GMAT??Since it is not explicitly stated that the line passes through those two specific points. My approach to the above problem was as follows. What we know from the graph is this x and y co-ordinates of line l are both positive, x co-ordinate is > 2 and y co-ordinate is > 1 Checking answer choices - A, D and E are clearly out since x and y co-ordinates will have opposite signs putting y=0 in choice C x=2 - Incorrect (as x co-ordinate > 2) Only B left Cheers

OG13 solution makes the same exact assumption "The line is shown going through the points (0,2) and (3,0)..."

I agree with Dipankar6435 approach. I used the similar approach since it is not explicitly mentioned that the line passes through and also there is no line markers at the points where the line touches both x and y axis. Since there is a line marker on the x axis that clearly indicates that the x value should be greater than 2, out of the 2 answer choices, I picked B as the right one. Thanks.

gmatclubot

Re: In the coordinate system above, which of the following is
[#permalink]
01 Dec 2013, 10:59