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29 Nov 2015, 10:47
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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Question Stats:
72% (01:07) correct
28%
(01:17)
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based on 283
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Which of the following equations represents a line that is perpendicular to y=1/2*x+2?
A. y−2x=8
B. 2x+4y=10
C. 3y+6x=12
D. 4y−8x=16
E. 5x−10y=20
A. y−2x=8
B. 2x+4y=10
C. 3y+6x=12
D. 4y−8x=16
E. 5x−10y=20
29 Nov 2015, 11:02
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For two lines to be perpendicular, the product of slopes should be equal to -1.
Slope of line 1 = 1/2
Slope of the line perpendicular to line 1 must be -2. Option C can be rewritten as y = -2x + 4 --> Slope = -2
Answer: C
Slope of line 1 = 1/2
Slope of the line perpendicular to line 1 must be -2. Option C can be rewritten as y = -2x + 4 --> Slope = -2
Answer: C
30 Nov 2015, 15:12
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Hi All,
This question asks for a line that is perpendicular to the line Y = (1/2)(X) + 2.
When graphing lines, it's often easiest for most Test Takers to put the line in slope-intercept 'format' (the same format as the one used in the given equation above). Perpendicular lines have slopes that are 'opposite inverse' (sometimes called 'negative reciprocal'), so we're looking for a line that has a slope of -2 (since the opposite of a positive is a negative and the inverse of 1/2 is 2).
Rather than convert all 5 answer choices to slope-intercept format, we can use some patterns to our advantage. To start, the slope will have to be NEGATIVE. Eliminate Answers A and D (their slopes will be positive). With the remaining 3 answers, we have:
B: Y = (1/2)X + 5/2
C: Y = -2X + 4
E: Y = (-1/2)X -2
Final Answer:
GMAT assassins aren't born, they're made,
Rich
This question asks for a line that is perpendicular to the line Y = (1/2)(X) + 2.
When graphing lines, it's often easiest for most Test Takers to put the line in slope-intercept 'format' (the same format as the one used in the given equation above). Perpendicular lines have slopes that are 'opposite inverse' (sometimes called 'negative reciprocal'), so we're looking for a line that has a slope of -2 (since the opposite of a positive is a negative and the inverse of 1/2 is 2).
Rather than convert all 5 answer choices to slope-intercept format, we can use some patterns to our advantage. To start, the slope will have to be NEGATIVE. Eliminate Answers A and D (their slopes will be positive). With the remaining 3 answers, we have:
B: Y = (1/2)X + 5/2
C: Y = -2X + 4
E: Y = (-1/2)X -2
Final Answer:
GMAT assassins aren't born, they're made,
Rich
