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04 Aug 2016, 04:50
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
61% (01:22) correct
39%
(01:14)
wrong
based on 473
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Which of the following lines has x-intercept and y-intercept that are integers?
A. y=3x+1
B. y=√x+1
C. y=-2/x
D. y=x^2-1
E. xy=1
*An answer will be posted in 2 days.
A. y=3x+1
B. y=√x+1
C. y=-2/x
D. y=x^2-1
E. xy=1
*An answer will be posted in 2 days.
Updated on: 03 Jul 2020, 08:05
Originally posted by BrentGMATPrepNow on 04 Aug 2016, 08:23.
Last edited by BrentGMATPrepNow on 03 Jul 2020, 08:05, edited 1 time in total.
Last edited by BrentGMATPrepNow on 03 Jul 2020, 08:05, edited 1 time in total.
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MathRevolution
IMPORTANT POINT #1: The y-intercept is the point where the x-coordinate is 0
So, let's plug x = 0 into each answer choice.
We get:
A. y= 3(0) + 1 = 1. Integer - KEEP
B. y = √0 + 1 = 1. Integer - KEEP
C. y = -2/0 undefined. ELIMINATE
D. y = 0² - 1 = -1. Integer - KEEP
E. (0)y = 1. When we solve for y, y is undefined. ELIMINATE
We're left with A, B and D
IMPORTANT POINT #2: The x-intercept is the point where the y-coordinate is 0
So, let's plug y = 0 into each answer choice.
We get:
A. 0 = 3x + 1 Solve to get x = -1/3. Not an integer. ELIMINATE
B. 0 = √x + 1 Unsolvable for x. ELIMINATE
D. 0 = x² - 1 x = 1 or -1, Both are integers. KEEP!
Answer: D
07 Aug 2016, 17:50
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Values that satisfy y=x^2-1 are (x,y)=(-1,0),(1,0),(0,-1). Hence, they are all integers and the correct answer is D.
