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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

−7
negative 7

8
8

−1
negative 1

0
0
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Answer 1

In Quadrant IV, the x-coordinate is positive while the y-coordinate is negative. The ordered pair given is (x, -9).

Since -9 is a negative value, the y-coordinate satisfies the requirement for Quadrant IV.

For the x-coordinate, it must be positive. Among the options:

• \( -7 \): negative, so not valid
• \( 8 \): positive, so valid
• \( -1 \): negative, so not valid
• \( 0 \): not positive, so not valid

Therefore, the only value of \( x \) that can make the ordered pair (x, -9) located in Quadrant IV is 8.