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Line m on a coordinate plane can be defined by the equation
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23 Mar 2020, 10:04
23 Mar 2020, 10:04
Expert Reply
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Question Stats:
84% (00:31) correct
16% (00:52) wrong based on 50 sessions
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Line \(m\) on a coordinate plane can be defined by the equation \(− 2x + 3y = 6\).
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Quantity A |
Quantity B |
The slope of a line parallel to line m |
The slope of a line perpendicular to line m |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Re: Line m on a coordinate plane can be defined by the equation
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23 Mar 2020, 21:52
23 Mar 2020, 21:52
1
Arranging the equation in y=mx+c form gives us 3y=2x+6. Thus slop of the line m is 2.
We know that parallel lines have same slop, and thus, option A is 2.
When lines are perpendicular, the slope is calculated by taking negative reciprocal of the slope, ie -1/2 = -0.5.
Thus option A is correct.
We know that parallel lines have same slop, and thus, option A is 2.
When lines are perpendicular, the slope is calculated by taking negative reciprocal of the slope, ie -1/2 = -0.5.
Thus option A is correct.
Re: Line m on a coordinate plane can be defined by the equation
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23 Mar 2020, 23:34
23 Mar 2020, 23:34
3
sukrut96 wrote:
Arranging the equation in y=mx+c form gives us 3y=2x+6. Thus slop of the line m is 2.
We know that parallel lines have same slop, and thus, option A is 2.
When lines are perpendicular, the slope is calculated by taking negative reciprocal of the slope, ie -1/2 = -0.5.
Thus option A is correct.
We know that parallel lines have same slop, and thus, option A is 2.
When lines are perpendicular, the slope is calculated by taking negative reciprocal of the slope, ie -1/2 = -0.5.
Thus option A is correct.
Just an input - slope of the line would 2/3 following y=mx +c (for comparison, y should not have a co-efficient). Thus, the perpendicular would have the slope -3/2.
