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 ordered pair is not located in Quadrant IV?

(1 point)
Responses

(1, −15)
Left Parenthesis 1 comma negative 15 Right Parenthesis

(4, −2)
Left Parenthesis 4 comma negative 2 Right Parenthesis

(12, −6)
Left Parenthesis 12 comma negative 6 Right Parenthesis

(−11, 10)
Left Parenthesis negative 11 comma 10 Right Parenthesis
Remaining Attempts : 3
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1 answer

To determine which ordered pair is not located in Quadrant IV, we need to recall the characteristics of the coordinate plane:

  • Quadrant I: (positive, positive)
  • Quadrant II: (negative, positive)
  • Quadrant III: (negative, negative)
  • Quadrant IV: (positive, negative)

In Quadrant IV, the x-coordinate is positive and the y-coordinate is negative.

Now, let's analyze each of the given ordered pairs:

  1. (1, -15): x is positive, y is negative → Located in Quadrant IV.
  2. (4, -2): x is positive, y is negative → Located in Quadrant IV.
  3. (12, -6): x is positive, y is negative → Located in Quadrant IV.
  4. (-11, 10): x is negative, y is positive → Located in Quadrant II.

Based on this analysis, the ordered pair that is not located in Quadrant IV is:

(−11, 10)

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