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In the xy-plane, what is the x-intercept of a certain line?
(1) The line passes through the point (0,2).
(2) The y-intercept of the line is 2.
(1) The line passes through the point (0,2).
(2) The y-intercept of the line is 2.
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31 Aug 2015, 04:56
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shakticnb
In the xy-plane, what is the x-intercept of a certain line?
(1) The line passes through the point (0,2).
(2) The y-intercept of the line is 2.
(1) The line passes through the point (0,2).
(2) The y-intercept of the line is 2.
1. Search for a question before you post.
2. Follow the posting guidelines rules-for-posting-please-read-this-before-posting-133935.html , especially points 2,3,7 and 10.
As for the question,
lets say the equation of the line is : y =mx+c, the x intercept will be = (y-c)/m
Per statement 1, point passing through (0,2) does not provide us any information apart from the fact that the y-intercept is 2. Not sufficient. We can have the following equations of 2 lines that have 2 different x-intercepts.
y=4x+2, x-intercept = -0.5
y=-6x+2, x-intercept = 0.33
Per statement 2, y-intercept is 2. This is the same information as statement 1 and hence is again not sufficient.
Combining, the 2 statements still provide us the same information and hence E is the correct answer.
General Discussion
17 Jan 2016, 16:21
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shakticnb
In the xy-plane, what is the x-intercept of a certain line?
(1) The line passes through the point (0,2).
(2) The y-intercept of the line is 2.
(1) The line passes through the point (0,2).
(2) The y-intercept of the line is 2.
1. Search for a question before you post.
2. Follow the posting guidelines rules-for-posting-please-read-this-before-posting-133935.html , especially points 2,3,7 and 10.
As for the question,
lets say the equation of the line is : y =mx+c, the x intercept will be = (y-c)/m
Per statement 1, point passing through (0,2) does not provide us any information apart from the fact that the y-intercept is 2. Not sufficient. We can have the following equations of 2 lines that have 2 different x-intercepts.
y=4x+2, x-intercept = -0.5
y=-6x+2, x-intercept = 0.33
Per statement 2, y-intercept is 2. This is the same information as statement 1 and hence is again not sufficient.
Combining, the 2 statements still provide us the same information and hence E is the correct answer.
Hi there,
Please tell me if this is right way of solving the problem: The x intercept is when Y=0 so if the equation is y=mx+c then in order to answer the question we need to have mx+c = 0 ==> x = -m/c
The first statement gives us this information. If we replace the values with (0,2) we get ==> c=2 but we still dont have value of m
The second statement gives the same information as above.
So E
