McGraw-Hill Education GRE 2019

II I

III IV

y

x

All three lines have negative slopes and pass through Quadrants II and

IV. Whether the lines pass through the other quadrants depends on their

y-intercepts.

6. C If two lines are perpendicular, then the slope of one line is the negative
   reciprocal of the slope of the other line. The product of reciprocals is 1. The
   product of negative reciprocals is thus −1.


7. C To determine the area, you need to determine the length of a side. To
   determine the length of a side, connect the two points to create a right angle:

4

(–2, 3) (2, 3)

(–2, 7)

The right angle is formed at the point (−2,3). To determine the length of a

side of the square, subtract the y-coordinate of the upper point from the

y-coordinate of the point below it: 7 − 3 = 4. The length of a side of the square

is 4. The area is thus 4^2 = 16.

8. E Since the x-intercept represents the point at which the line intersects the
   x-axis, the coordinates of the x-intercept are (3,0). Substitute 3 for x and 0 for y
   to solve for b: 0 = 4(3) − b → 0 = 12 − b → 12 = b.

CHAPTER 13 ■ GEOMETRY 445

04-GRE-Test-2018_313-462.indd 445 12/05/17 12:07 pm