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20 Mar 2016, 11:20
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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:
5%
(low)
Question Stats:
80% (00:41) correct
20%
(00:51)
wrong
based on 530
sessions
History
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At what point does the line ax + y + b = 0 intersect the y-axis?
(1) b = 5
(2) a = 3
(1) b = 5
(2) a = 3
Updated on: 03 Jul 2020, 08:06
Originally posted by BrentGMATPrepNow on 07 Aug 2016, 13:57.
Last edited by BrentGMATPrepNow on 03 Jul 2020, 08:06, edited 1 time in total.
Last edited by BrentGMATPrepNow on 03 Jul 2020, 08:06, edited 1 time in total.
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Bunuel
At what point does the line ax + y + b = 0 intersect the y-axis?
(1) b = 5
(2) a = 3
(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
Answer = A
General Discussion
bigdady
Joined: 10 Feb 2016
Last visit: 16 Nov 2016
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Location: Finland
Concentration: General Management, Strategy
Schools: Insead Sept'18 HBS '19 Wharton '19
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20 Mar 2016, 12:37
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The answer is A.
(1) b = 5
ax + y + b = 0
y + b =0 (x=0; where the line intersect y axis)
y=-b and b is given hence Sufficient
(2) a = 3
a is the slope
ax + y + b = 0
y=-ax - b
y=-b (x=0; where the line intersect y axis)
No value for y hence Insufficient.
(1) b = 5
ax + y + b = 0
y + b =0 (x=0; where the line intersect y axis)
y=-b and b is given hence Sufficient
(2) a = 3
a is the slope
ax + y + b = 0
y=-ax - b
y=-b (x=0; where the line intersect y axis)
No value for y hence Insufficient.
