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If Line k in the xy-plane has equation y = mx + b, where m [#permalink]
26 Mar 2012, 12:56
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Difficulty:
65% (hard)
Question Stats:
56% (02:07) correct
44% (01:39) wrong based on 126 sessions
If Line k in the xy-plane has equation y = mx + b, where m and b are constants, what is the slope of k?
(1) k is parallel to the line with equation y = (1-m)x + b +1. (2) k intersects the line with equation y = 2x + 3 at the point (2, 7)
I have a doubt in stmnt (2). K intersects the line with equation y=2(x)+3 at point (2,7) means for the line y=2(x)+3 slope is 2,but with this we cannot able to find slope of the line K. is my reasoning is right. please explain
Re: coordinate geometry [#permalink]
26 Mar 2012, 13:14
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Quote:
If Line k in the xy-plane has equation y = mx + b, where m and b are constants, what is the slope of k? (1) k is parallel to the line with equation y = (1-m)x + b +1. (2) k intersects the line with equation y = 2x + 3 at the point (2, 7)
I have a doubt in stmnt (2). K intersects the line with equation y=2(x)+3 at point (2,7) means for the line y=2(x)+3 slope is 2,but with this we cannot able to find slope of the line K. is my reasoning is right. please explain
My 2 cents:
Questions is asking you what is the value of M
so
1) Since k and this line with slope (1-m) are parallel
then m = 1 - m or m = 1/2
thus it is sufficient
2) we know that the point 2, 7 is on the line line y = mx + b
so 7 = 2m + b
But we know nothing else so we cannot solve for m thus it is insufficient
Re: coordinate geometry [#permalink]
26 Mar 2012, 13:15
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Expert's post
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TomB wrote:
If Line k in the xy-plane has equation y = mx + b, where m and b are constants, what is the slope of k?
(1) k is parallel to the line with equation y = (1-m)x + b +1. (2) k intersects the line with equation y = 2x + 3 at the point (2, 7)
I have a doubt in stmnt (2). K intersects the line with equation y=2(x)+3 at point (2,7) means for the line y=2(x)+3 slope is 2,but with this we cannot able to find slope of the line K. is my reasoning is right. please explain
If Line k in the xy-plane has equation y = mx + b, where m and b are constants, what is the slope of k?
\(y=mx+b\) is called point-intercept form of equation of a line. Where: \(m\) is the slope of the line; \(b\) is the y-intercept of the line; \(x\) is the independent variable of the function \(y\).
So we are asked to find the value of \(m\).
(1) k is parallel to the line with equation y = (1-m)x + b +1 --> parallel lines have the same slope --> slope of this line is \(1-m\), so \(1-m=m\) --> \(m=\frac{1}{2}\). Sufficient.
(2) k intersects the line with equation y = 2x + 3 at the point (2, 7) --> so line k contains the point (2,7) --> \(7=2m+b\) --> can not solve for \(m\). Not sufficient.
Re: If Line k in the xy-plane has equation y = mx + b, where m [#permalink]
26 Mar 2012, 13:20
hai
my question is the line with equation y=2(x)+3.
x,y are coordinates on the number line. x,y coordinates are (2,7) 2= slope 3= y-intercept.
we already given the slope of the line which line K intersects but no further info about line K , so we cant find the slope of the line K. I s this correct
Re: If Line k in the xy-plane has equation y = mx + b, where m [#permalink]
01 Apr 2014, 10:30
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Re: If Line k in the xy-plane has equation y = mx + b, where m [#permalink]
07 Apr 2015, 00:41
Hello from the GMAT Club BumpBot!
Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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