The problem asks us to identify the quadrant in which the given points lie. The points are A(2, -6), B(-7, -3), C(-5, 5), D(-4, -1), E(1, -1), and G(6, 4). The quadrants are numbered as follows: 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. Problem Description

The problem asks us to identify the quadrant in which the given points lie. The points are A(2, -6), B(-7, -3), C(-5, 5), D(-4, -1), E(1, -1), and G(6, 4). The quadrants are numbered as follows:

Quadrant I: x > 0, y > 0

Quadrant II: x < 0, y > 0

Quadrant III: x < 0, y < 0

Quadrant IV: x > 0, y < 0

2. Solution Steps

We will determine the quadrant for each point based on the signs of the x and y coordinates.

Point A(2, -6): x > 0 and y < 0, so it's in Quadrant IV.

Point B(-7, -3): x < 0 and y < 0, so it's in Quadrant III.

Point C(-5, 5): x < 0 and y > 0, so it's in Quadrant II.

Point D(-4, -1): x < 0 and y < 0, so it's in Quadrant III.

Point E(1, -1): x > 0 and y < 0, so it's in Quadrant IV.

Point G(6, 4): x > 0 and y > 0, so it's in Quadrant I.

3. Final Answer

A: Quadrant IV

B: Quadrant III

C: Quadrant II

D: Quadrant III

E: Quadrant IV

G: Quadrant I