Question

The y-coordinate of point P is 2 3, and the x-coordinate is negative. Which quadrant does point P lie in?

a) Quadrant I
b) Quadrant II
c) Quadrant III
d) Quadrant IV

Answer 1

Point P with a positive y-coordinate (2/3) and a negative x-coordinate lies in Quadrant II, where the x-values are negative and the y-values are positive.

Step-by-step explanation:

The question is about determining in which quadrant a point with given coordinates lies on the Cartesian coordinate system. Since point P has a positive y-coordinate (2/3) and a negative x-coordinate, it must lie in Quadrant II of the coordinate system. This is because Quadrant II is defined by having negative x-values and positive y-values. Here is a brief explanation:

• Quadrant I: Positive x and y coordinates.
• Quadrant II: Negative x and positive y coordinates.
• Quadrant III: Negative x and y coordinates.
• Quadrant IV: Positive x and negative y coordinates.