Question

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.

In which quadrant is the ordered pair (6, −7)
located?

(1 point)
Responses

I
I

III
III

IV
IV

II
II
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Answer 1

To determine the quadrant of the ordered pair \((6, -7)\):

- The \(x\)-coordinate is \(6\), which is positive.
- The \(y\)-coordinate is \(-7\), which is negative.

According to the quadrant definitions:
- Quadrant I: \( ( \text{positive}, \text{positive} ) \)
- Quadrant II: \( ( \text{negative}, \text{positive} ) \)
- Quadrant III: \( ( \text{negative}, \text{negative} ) \)
- Quadrant IV: \( ( \text{positive}, \text{negative} ) \)

Since the \(x\)-coordinate is positive and the \(y\)-coordinate is negative, the ordered pair \((6, -7)\) is located in **Quadrant IV**.

So the answer is **IV**.