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12 Nov 2018, 00:33
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
78% (01:08) correct
22%
(01:13)
wrong
based on 113
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In the XY-plane, the line with equation ax + by + c = 0, where abc ≠ 0, has slope −3. What is the value of b?
(1) a = 2
(2) c = 5/2
(1) a = 2
(2) c = 5/2
Bunuel
Equation of a straight line is \(ax+by+c=0\)
For an equation in this form the slope is \(-\frac{a}{b}\) and the y intercept is \(-\frac{c}{b}\).
Statement One: a = 2, and slope −3
the slope = \(-\frac{a}{b}\) = -3
\(-a = -3b\)
\(-3b= -2\)
\(b = \frac{2}{3}\) Sufficient
Statement Two: c = 5/2
y intercept is \(-\frac{c}{b}\)
But we dont know anything of B. it is indeed insufficient
IMO: A
p.s.
Gladiator59
thank you ! Edited my solution. can you please check if all is correct. i got confused reagrding minus sign i missed in ST ONE. 
12 Nov 2018, 02:22
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Hello dave13,
You have solved it almost perfectly in statement 1. ( though you missed a minus sign). However, solving to find b is not required, just knowing that a unique value can be found is sufficient as it is a DS
ALWAYS remember this to save time.
For statement 2. -c/b = 5/2
So all we know is the ratio of c and b -> we cannot predict the exact value of b based on this. As b could be 2 or 4 or 8 ... any number based on what c is as long as the ratio is the same ( -5/2)
Hope you got why the answer should be (A) and statement (2) is not sufficient.
Best,
Gladi
You have solved it almost perfectly in statement 1. ( though you missed a minus sign). However, solving to find b is not required, just knowing that a unique value can be found is sufficient as it is a DS
ALWAYS remember this to save time.
For statement 2. -c/b = 5/2
So all we know is the ratio of c and b -> we cannot predict the exact value of b based on this. As b could be 2 or 4 or 8 ... any number based on what c is as long as the ratio is the same ( -5/2)
Hope you got why the answer should be (A) and statement (2) is not sufficient.
Best,
Gladi
dave13
