Questions: Question 6 1 pts In which quadrant does the point (9,-2) lie? A. quadrant II B. quadrant IV C. quadrant I D. quadrant III A B C D

Solution Steps

To determine the quadrant in which the point (9, -2) lies, we need to analyze the signs of the x and y coordinates. The x-coordinate is positive and the y-coordinate is negative, which places the point in the fourth quadrant.

The point given is \((9, -2)\). Here, the x-coordinate is \(9\) and the y-coordinate is \(-2\).

The x-coordinate \(9 > 0\) is positive, and the y-coordinate \(-2 < 0\) is negative.

Based on the signs of the coordinates:

• If \(x > 0\) and \(y > 0\), the point is in quadrant I.
• If \(x < 0\) and \(y > 0\), the point is in quadrant II.
• If \(x < 0\) and \(y < 0\), the point is in quadrant III.
• If \(x > 0\) and \(y < 0\), the point is in quadrant IV.

Since \(x > 0\) and \(y < 0\), the point \((9, -2)\) lies in quadrant IV.

Final Answer