Coordinate Geometry

[swerve]

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

[sjain296]

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.

[Scott@TargetTestPrep]

GMAT_PS_Magoosh_212.png

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

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