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Re: In the x-y plane there is a line K, (x/a)+(y/b)=1. What is the x-inter
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20 Mar 2017, 07:53

1

Top Contributor

MathRevolution wrote:

In the x-y plane there is a line K, (x/a) + (y/b) = 1. What is the x-intercept of line K?

1) a = b 2) a = 1

Target question:What is the x-intercept of line K? This is a great candidate for rephrasing the target question.

Given: (x/a) + (y/b) = 1 The x-intercept is the value of x that satisfies the equation when y = 0 So, plug y = 0 into the equation to get: (x/a) + (0/b) = 1 Simplify: x/a = 1 So, x = a In other words, given the equation (x/a) + (y/b) = 1, the x-intercept will be a REPHRASED target question:What is the value of a?

----now onto the question!!------------

Statement 1: a = b Since we don't know the value of b, we can't determine the value of a Since we cannot answer the REPHRASED target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: a = 1 PERFECT! Since we can answer the REPHRASED target question with certainty, statement 2 is SUFFICIENT

Re: In the x-y plane there is a line K, (x/a)+(y/b)=1. What is the x-inter
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22 Mar 2017, 02:48

==> If you modify the original condition and the question, the x-intercept is the value of x when y=0, hence from (x/a)=1, you get x=a, so you only need to find a.

Therefore, the answer is B. Answer: B
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Re: In the x-y plane there is a line K, (x/a)+(y/b)=1. What is the x-inter
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21 Sep 2018, 23:32

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