GRE Quant Foundation Assessment Test (Coordinate Geometry)

In the xy-coordinate plane, the origin is at point (a, b), where a and b are both integers. What is a + b?

In the xy-coordinate plane, which axis lies in the horizontal direction?

• the x-axis
• the y-axis
• neither

If a and b are positive integers, then the point (a, -b) would be plotted in which of the following quadrants?

• Quadrant I
• Quadrant II
• Quadrant III
• Quadrant IV

If a and b are negative integers, then the point (a, -b) would be plotted in which of the following quadrants?

• Quadrant I
• Quadrant II
• Quadrant III
• Quadrant IV

Which of the following points is the reflection of the point (4, -3) about the x-axis?

• (4, 3)
• (-4, 3)
• (-4, -3)
• (3, -4)
• (-3, -4)

Which of the following points is the reflection of the point (-2, 5) about the origin?

• (2, 5)
• (2, -5)
• (-2, -5)
• (5, -2)
• (-5, 2)

What is the distance between points (-3, -7) and (2, -19)? If necessary, round your answer to the nearest integer.

How many points lie at a distance of 5 from the origin?

• 1
• 2
• 4
• an infinite number

Which of the following equations is/are plotted as a horizontal line in the xy-coordinate plane?

• 5y = 14
• y = -4
• y = 0x + 11
• 3x + 5y = 7
• y = 3x + 4

What is the slope of the line represented by the equation -4x + 8y = -5?