Question

in which quadrant does a point lie if it has a positive x-coordinate and a negative y-coordinate? image of a coordinate plane with y-axis, x-axis, and points p, f, h, c options: quadrant iii, quadrant i, quadrant iv, quadrant ii

Explanation:

1. Recall the sign conventions of coordinates in each quadrant:

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

1. The given point has a positive \(x\)-coordinate (\(x>0\)) and a negative \(y\)-coordinate (\(y < 0\)). By matching with the quadrant sign - rules, this point lies in Quadrant IV.

Answer:

Quadrant IV