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fitzpratik
16 Aug 2017, 18:59
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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89% (01:27) correct
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Which of the following line is parallel to the given line 3x + 4y = 12 and has a negative y-intercept.
A. 6x + 9y + 12 = 0
B. 9x + 12y + 36 = 0
C. 9x+ 12y- 36 = 0
D. 6x + 9y + 28 = 0
E. 6x + 9y - 28 = 0
A. 6x + 9y + 12 = 0
B. 9x + 12y + 36 = 0
C. 9x+ 12y- 36 = 0
D. 6x + 9y + 28 = 0
E. 6x + 9y - 28 = 0
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16 Aug 2017, 20:03
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Two lines are parallel if they have the same slope
The side parallel with ax + by = c1 will be ax + by = c2
Since we are given the equation of the first line 3x + 4y = 12, the second line should also have the equation 3x + 4y = c2
Of the answer options, Only Option B(9x + 12y + 36 = 0) and Option C(9x+ 12y- 36 = 0) have equations such that parallel lines can be formed.
Since we need a line which has a negative y-intercept
Consider Option B
9x + 12y = -36 => 3x + 4y = -9 (when dividing by 3)
The y intercept of an equation is when x=0
Let x = 0, we get y = -9/4 (which is a negative y-intercept)
Hence, Option B is our answer
The side parallel with ax + by = c1 will be ax + by = c2
Since we are given the equation of the first line 3x + 4y = 12, the second line should also have the equation 3x + 4y = c2
Of the answer options, Only Option B(9x + 12y + 36 = 0) and Option C(9x+ 12y- 36 = 0) have equations such that parallel lines can be formed.
Since we need a line which has a negative y-intercept
Consider Option B
9x + 12y = -36 => 3x + 4y = -9 (when dividing by 3)
The y intercept of an equation is when x=0
Let x = 0, we get y = -9/4 (which is a negative y-intercept)
Hence, Option B is our answer
16 Aug 2017, 22:51
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Two lines are parallel if one of the equation is multiple of the other
Option A: 6x is 2*3x but 2*4y is not equal to 9y so wrong.
Thus Option D and E are also wrong
Option B is going to give -36 when transferred to right hand side. (General equation of line is y=mx+c)
Option C is going to give +36.
Since question is asking for negative slope, thus option B is correct
Option A: 6x is 2*3x but 2*4y is not equal to 9y so wrong.
Thus Option D and E are also wrong
Option B is going to give -36 when transferred to right hand side. (General equation of line is y=mx+c)
Option C is going to give +36.
Since question is asking for negative slope, thus option B is correct
