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# In the xy-plane, the line with equation ax + by + c = 0,

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Senior Manager
Joined: 08 Jun 2004
Posts: 495
Location: Europe
In the xy-plane, the line with equation ax + by + c = 0, [#permalink]

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25 Apr 2006, 12:35
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In the xy-plane, the line with equation ax + by + c = 0, where abc ≠ 0, has slope 2/3. What is the value of b?
(1) a = 4
(2) c = −6
Intern
Joined: 25 Apr 2006
Posts: 10

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25 Apr 2006, 12:52
Y = -a/bX -c/b
slope = -a/b.

If 'a' is given then we should be able to find 'b'
VP
Joined: 29 Apr 2003
Posts: 1403

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25 Apr 2006, 12:52

convert the equation to the form y = -a/b*x + c/a

slope is 2/3 = -a/b

Thus, b = -a3/2

Thus Eq A works!
Manager
Joined: 21 Mar 2006
Posts: 89

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25 Apr 2006, 16:26
Quote:

convert the equation to the form y = -a/b*x + c/a

Agree with your answer, but shouldn't the equation be y = -a/b*x - c/b?
Senior Manager
Joined: 08 Jun 2004
Posts: 495
Location: Europe

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26 Apr 2006, 11:30
Yes guys the OA is A.
What is the formulae of the equation convertion into the form y = -a/b*x + c/a?
Director
Joined: 13 Nov 2003
Posts: 789
Location: BULGARIA

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26 Apr 2006, 11:37
Hallo M8,.
There is no formula, simply transfer ax and c on the right side of the equation and divide by b
Senior Manager
Joined: 08 Jun 2004
Posts: 495
Location: Europe

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26 Apr 2006, 12:06
BG wrote:
Hallo M8,.
There is no formula, simply transfer ax and c on the right side of the equation and divide by b

Sometimes I try to solve easy questions with complicated formulaes.
26 Apr 2006, 12:06
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