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Re: At what point does the line ax + y + b = 0 intersect the y-axis?
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07 Aug 2016, 13:57

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Top Contributor

Bunuel wrote:

At what point does the line ax + y + b = 0 intersect the y-axis?

(1) b = 5 (2) a = 3

Target question:At what point does the line ax + y + b = 0 intersect the y-axis? This is a great candidate for REPHRASING THE TARGET QUESTION

Take the equation of the line ax + y + b = 0, and rewrite it in SLOPE Y-INTERCEPT FORM Given: ax + y + b = 0 Subtract ax and b from both sides to get: y = -ax - b At this point, we can see that the y-intercept is -b (and the slope is -a) So, to determine the y-intercept, we need only determine the value of b REPHRASED target question:What is the value of b?

Statement 1: b = 5 PERFECT!! Since we can answer the REPHRASED target question with certainty, statement 1 is SUFFICIENT

Statement 2: a = 3 We cannot use this information to determine the value of b. Since we cannot answer the REPHRASED target question with certainty, statement 2 is NOT SUFFICIENT

Re: At what point does the line ax + y + b = 0 intersect the y-axis?
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13 Jul 2018, 03:12

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