Question

Show me (5, 4.5), (1.5, 3), (3, 1.5) on a graph.

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

Answer 1

The points (5, 4.5), (1.5, 3), and (3, 1.5) all lie in Quadrant I.

Step-by-step explanation:

To determine the quadrant in which the points (5, 4.5), (1.5, 3), and (3, 1.5) lie, we need to understand the concept of quadrants in the coordinate plane. The x-coordinate represents the horizontal position and the y-coordinate represents the vertical position of a point. In Quadrant I, both the x-coordinate and the y-coordinate are positive, in Quadrant II the x-coordinate is negative and the y-coordinate is positive, in Quadrant III both the x-coordinate and y-coordinate are negative, and in Quadrant IV the x-coordinate is positive and the y-coordinate is negative.

Let's analyze each point:

1. (5, 4.5): Both the x-coordinate and y-coordinate are positive, so this point lies in Quadrant I.
2. (1.5, 3): Both the x-coordinate and y-coordinate are positive, so this point also lies in Quadrant I.
3. (3, 1.5): Both the x-coordinate and y-coordinate are positive, so this point also lies in Quadrant I.

Therefore, all three points (5, 4.5), (1.5, 3), and (3, 1.5) lie in Quadrant I.