In which quadrant is the following point located?
$(-\frac{25}{2},47)$

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

Answer: (B)

Verified step by step guidance

1. Identify the coordinates of the point given: \(\left(-\frac{25}{2}, 47\right)\). Here, the x-coordinate is \(-\frac{25}{2}\) and the y-coordinate is \$47$.
2. Recall the signs of coordinates in each quadrant: Quadrant 1 (Q1) has \(x > 0\) and \(y > 0\), Quadrant 2 (Q2) has \(x < 0\) and \(y > 0\), Quadrant 3 (Q3) has \(x < 0\) and \(y < 0\), and Quadrant 4 (Q4) has \(x > 0\) and \(y < 0\).
3. Check the sign of the x-coordinate: \(-\frac{25}{2}\) is negative, so \(x < 0\).
4. Check the sign of the y-coordinate: \$47\( is positive, so \)y > 0$.
5. Since \(x < 0\) and \(y > 0\), the point lies in Quadrant 2 (Q2).