Question

y-coordinate?
coordinate plane graph with points p, f, h, c
options:
○ quadrant iii
○ quadrant ii
○ quadrant i
○ quadrant iv

Explanation:

To determine the quadrant with a positive \( x \)-coordinate and a negative \( y \)-coordinate, we recall the sign conventions of the coordinate plane:

• Quadrant I: \( x > 0 \), \( y > 0 \)
• Quadrant II: \( x < 0 \), \( y > 0 \)
• Quadrant III: \( x < 0 \), \( y < 0 \)
• Quadrant IV: \( x > 0 \), \( y < 0 \)

A positive \( x \)-coordinate means the point lies to the right of the \( y \)-axis (\( x > 0 \)), and a negative \( y \)-coordinate means the point lies below the \( x \)-axis (\( y < 0 \)). From the sign conventions, this matches Quadrant IV.

Answer:

Quadrant IV