In which quadrant is the following point located?
$(248,-321)$

• A. $Q1$
• B. $Q2$
• C. $Q3$
• D. $Q4$

Answer: (D)

Verified step by step guidance

1. Identify the coordinates of the point given: \(\left(248, -321\right)\), where 248 is the x-coordinate and -321 is the y-coordinate.
2. Recall the rule for determining the quadrant of a point based on the signs of its coordinates: - Quadrant 1 (Q1): \(x > 0\), \(y > 0\) - Quadrant 2 (Q2): \(x < 0\), \(y > 0\) - Quadrant 3 (Q3): \(x < 0\), \(y < 0\) - Quadrant 4 (Q4): \(x > 0\), \(y < 0\)
3. Check the sign of the x-coordinate: since \$248 > 0$, the point lies either in Q1 or Q4.
4. Check the sign of the y-coordinate: since \(-321 < 0\), the point lies either in Q3 or Q4.
5. Combine the signs: \(x > 0\) and \(y < 0\) means the point is located in Quadrant 4 (Q4).