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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?

\(ax + by + c = 0\) --> \(y=-\frac{a}{b}*x-\frac{c}{b}\). So the slope equals to \(-\frac{a}{b}=\frac{2}{3}\).

(1) a = 4 --> we can find \(b\) form \(-\frac{a}{b}=\frac{2}{3}\). Sufficient. (2) c = -6 --> we cannot find \(b\) from \(-\frac{a}{b}=\frac{2}{3}\). Not sufficient.

In the xy-plane, the line with equation ax + by + c = 0, where abc ≠ 0, has slope 3/2. What is the value of b? (1) a = 4 (2) c = −6 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient.

Can someone please solve and explain the problem to me???

Re: In the xy-plane, the line with equation ax + by + c = 0, [#permalink]

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23 Jun 2015, 13:11

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