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08 Jun 2013, 22:19
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A
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Difficulty:
55%
(hard)
Question Stats:
55% (01:42) correct
45%
(01:38)
wrong
based on 95
sessions
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What is the X intercept of non horizontal line m?
(1) The slope of m is 4 times the y intercept of m
(2) The y intercept of line m is -2.
I would like to see the graphical approach for Statement 1. I'm able to find the answer using algebraic approach, however graphical approach is giving me an incorrect answer.
Your help will be appreciated.
Thanks
imhimanshu
(1) The slope of m is 4 times the y intercept of m
(2) The y intercept of line m is -2.
I would like to see the graphical approach for Statement 1. I'm able to find the answer using algebraic approach, however graphical approach is giving me an incorrect answer.
Your help will be appreciated.
Thanks
imhimanshu
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08 Jun 2013, 22:33
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What is the X intercept of non horizontal line m?
\(y=mx+q\)
1) The slope of m is 4 times the y intercept of m
\(m=4q\)
\(y=4qx+q\),or \(y=q(4x+1)\) the X intercept of that line is \(-\frac{1}{4}\) as y=q(4x+1)=0 (because q cannot be zero) gives us 4x+1=0.
2) The y intercept of line m is -2.
\(y=mx-2\).
Not sufficient
Take a look at the image, there are three lines y=4x+1, y=8x+2 and y=-4x-1.
Hope it clarifies
\(y=mx+q\)
1) The slope of m is 4 times the y intercept of m
\(m=4q\)
\(y=4qx+q\),or \(y=q(4x+1)\) the X intercept of that line is \(-\frac{1}{4}\) as y=q(4x+1)=0 (because q cannot be zero) gives us 4x+1=0.
2) The y intercept of line m is -2.
\(y=mx-2\).
Not sufficient
Take a look at the image, there are three lines y=4x+1, y=8x+2 and y=-4x-1.
Hope it clarifies
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kpali
Joined: 22 May 2013
Last visit: 20 Dec 2014
Posts: 35
Given Kudos: 10
Concentration: General Management, Technology
Schools: Tippie '16 Sloan '16 Tepper '16 Duke '16
GPA: 3.9
WE:Information Technology (Computer Software)
09 Jun 2013, 00:39
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imhimanshu
Algebraic Approach:
We know that the line is not horizontal, Hence is has a a X and a Y intercept.
Case 1) Considering the line in the form: Y=PX+C, P being the slope and C being the constant which is also the Y Intercept.
slope of m is 4 times the y intercept of m, Hence,
P=4C
Y=4CX+C
To find the X intercept, Substituting Y=0
X=-1/4
Sufficient.
Case 2)Y Intercept of line = -2
Hence, in the line Y=PX+C, C = -2
Substituting
Y=PX-2
To find the X intercept, substituting Y=0
X=2/P
P is still u known.
Hence, Insufficient.
Since, Case 1 is sufficient, A is the answer.
