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.