A. \(5x + 12y = 30\)
B. \(12x + 5y = 30\)
C. \(5x – 12y = 30\)
D. \(12x – 5y = 30\)
E. \(5x + 12y = –30\)
The OA is A
Source: Magoosh
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Coordinate Geometry
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B
C
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E
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In the coordinate system above, which of the following could be the equation of the line \(p\)?
A. \(5x + 12y = 30\)
B. \(12x + 5y = 30\)
C. \(5x – 12y = 30\)
D. \(12x – 5y = 30\)
E. \(5x + 12y = –30\)
The OA is A
Source: Magoosh
A. \(5x + 12y = 30\)
B. \(12x + 5y = 30\)
C. \(5x – 12y = 30\)
D. \(12x – 5y = 30\)
E. \(5x + 12y = –30\)
The OA is A
Source: Magoosh
From the diagram, we can say that slope of the line should be -Ve
therefore, option C and D are out.
From the diagram, it's also clear that Y-intercept is greater than 2 and lower than 3.
Therefore, if we take x = 0
then, E is out as it's -ve intercept.
B is out as it is more than 3.
So we are left with A.
Therefore, A is the answer.
therefore, option C and D are out.
From the diagram, it's also clear that Y-intercept is greater than 2 and lower than 3.
Therefore, if we take x = 0
then, E is out as it's -ve intercept.
B is out as it is more than 3.
So we are left with A.
Therefore, A is the answer.
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Solution:
We see that the x-intercept of the line is 6 and the y-intercept is 2.5. We can use the two-intercept form of the line: x/a + y/b = 1 (where a is the x-intercept and b is the y-intercept) to set up an equation for the line. Therefore, the two-intercept form of line p is:
x/6 + y/2.5 = 1
Multiplying both sides by 30, we have:
5x + 12y = 30
Answer: A
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