The Coordinate Plane Unit Test
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Question
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.
What can be the value of x
so that the ordered pair (x, 13) is located in Quadrant II?
(1 point)
Responses
−14
negative 14
9
9
0
0
13
13
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To determine the value of x such that the ordered pair (x, 13) is located in Quadrant II on a coordinate plane, we need to understand the signs of coordinates in each quadrant.
- Quadrant I: (+, +)
- Quadrant II: (−, +)
- Quadrant III: (−, −)
- Quadrant IV: (+, −)
Since we are looking for a position in Quadrant II, x must be negative and y must be positive. The y-coordinate is already provided as 13, which is positive. Therefore, we only need a negative value for x to make sure the point (x, 13) lies in Quadrant II.
Looking at the provided choices:
- −14: This value of x would indeed place the point in Quadrant II because it is negative.
- 9: This value is positive, so this would place the point in Quadrant I.
- 0: This value lies on the y-axis, not in any of the four quadrants.
- 13: This value is positive, so the point would be in Quadrant I.
The correct response is −14, because we need x to be negative in order for the ordered pair to be in Quadrant II.