1

Problem

The points on the coordinate plane are I(0, 3) and J(3, 0). Determine the line segment that joins them.

2

Step

The points I(0, 3) and J(3, 0) lie on the coordinate plane. Let’s determine the quadrant(s) in which the line segment joining them lies.

3

Step

Point I(0, 3):

x = 0 and y = 3
This point lies on the y-axis and is above the origin, which means it is neither in the first quadrant nor the second, third, or fourth quadrants. It lies on the boundary between the first and second quadrants.

4

Step

Point J(3, 0):

x = 3 and y = 0
This point lies on the x-axis and is to the right of the origin, meaning it is neither in the first quadrant nor the fourth quadrant. It lies on the boundary between the first and fourth quadrants.

5

Hint

Quadrants of the Line Segment:

The line segment that joins I(0, 3) and J(3, 0) crosses through the first quadrant.

6

Step

Explanation:

Since I(0, 3) is on the y-axis and J(3, 0) is on the x-axis, the line segment connecting them must pass through the first quadrant as it moves from the positive y-axis down to the positive x-axis.

7

Solution

Thus, the line segment joining the points I(0, 3) and J(3, 0) lies in the first quadrant.

8

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

9

Choice-A

This choice is correct because the line segment does end in Quadrant 1

Correct Quadrant 1

10

Choice-B

This option is wrong because the line segment does not stay within Quadrant 2; it starts there but does not remain in it

Wrong Quadrant 2

11

Choice-C

This is incorrect because the line segment does not pass through Quadrant 3. It only moves from Quadrant 2 to Quadrant 1

Wrong Quadrant 3

12

Choice-D

The segment does not pass through or end in Quadrant 4. So, it is wrong

Wrong Quadrant 4

13

Step

Option

A

14

Sumup

Please Summarize Choices