Question

In which quadrant does the point lie? Write the coordinates of the point.

Point B

A. quadrant II; (–2, –4)

B. quadrant III; (2, 4)

C. quadrant III; (–2, –4)

D. quadrant IV; (–4, –2)

Answer 1

The point with coordinates (-2, -4) lies in Quadrant III, where both the x and y coordinates are negative.

Step-by-step explanation:

To determine in which quadrant a given point lies, we must recall that the Cartesian coordinate system is divided into four quadrants. The coordinates of a point help us to identify the quadrant:

• Quadrant I: Both x and y coordinates are positive.
• Quadrant II: The x coordinate is negative and the y coordinate is positive.
• Quadrant III: Both x and y coordinates are negative.
• Quadrant IV: The x coordinate is positive and the y coordinate is negative.

Based on these definitions, we can evaluate the provided options. Option A presents a point (-2, -4), where both x and y coordinates are negative, which corresponds to Quadrant III. Therefore, the correct answer from the given options is:

C. quadrant III; (-2, -4)

Answer 2

C. quadrant III; (–2, –4)