Use the image to answer the question.

A coordinate plane shows the x-axis and y-axis labeled, both ranging from negative 6 to 6 in increments of 1. Quadrants 1 to 4 are labeled. Quadrant 1 is labeled with left parenthesis positive sign comma positive sign right parenthesis. Quadrant 2 is labeled with left parenthesis negative sign comma positive sign right parenthesis. Quadrant 3 is labeled with left parenthesis negative sign comma negative sign right parenthesis. Quadrant 4 is labeled with left parenthesis positive sign comma negative sign right parenthesis.

Which of the following can be the value of x
so that the ordered pair (x, −9)
is located in Quadrant IV?

(1 point)
Responses

−1
negative 1

0
0

−7
negative 7

8
8
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1 answer

In Quadrant IV, the coordinates are represented as (positive, negative). This means that for a point to be in Quadrant IV, the x-coordinate must be positive and the y-coordinate must be negative.

The ordered pair given is (x, −9). Here, the y-coordinate is −9, which is negative.

For the point to be in Quadrant IV, the x-coordinate must be positive.

Now, let's examine the options:

  • −1: This is negative.
  • 0: This is neither positive nor negative.
  • −7: This is negative.
  • 8: This is positive.

Based on this understanding, the only value of x from the options provided that can place the ordered pair (x, −9) in Quadrant IV is:

8.