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# In the xy-plane, if line k passes through the points (3,-4)

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In the xy-plane, if line k passes through the points (3,-4) [#permalink]

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12 Jun 2008, 12:07
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

In the xy-plane, if line k passes through the points (3,-4) and (a,b), where b=4a-16 and a>3 what is the slope of k?

a) -4
b) -1/2
c) 0
d) 2
e) 4
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12 Jun 2008, 12:23
Expert's post
E

if line k passes through all (a,b) points. the line k is parallel to b=4a-16 and the slope of k is the same: 4
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12 Jun 2008, 12:27
I agree, E.

My reason is that the equations b=4a-16 is another form of y=4x-16. If in that form, it's very simple to figure out the slope because we're used to seeing a line in that form, but not in relation to {a,b}.

puma wrote:
In the xy-plane, if line k passes through the points (3,-4) and (a,b), where b=4a-16 and a>3 what is the slope of k?

a) -4
b) -1/2
c) 0
d) 2
e) 4

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Re: xy-plane   [#permalink] 12 Jun 2008, 12:27
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