Represent the situation graphically

Video Explanation

Watch the video explanation below:

Given

Gloria is walking along the path joining the points:

(−2, 3) and (2, −2)

Suresh is walking along the path joining the points:

(0, 5) and (4, 0)

To Represent

The given situation graphically on the Cartesian plane.

Solution

Step 1: Draw the Axes

Draw the X-axis and Y-axis on graph paper.

Step 2: Plot Gloria’s Path

Plot the points:

• A(−2, 3)
• B(2, −2)

Join the points A and B by a straight line.

This straight line represents the path of Gloria.

Step 3: Plot Suresh’s Path

Plot the points:

• C(0, 5)
• D(4, 0)

Join the points C and D by a straight line.

This straight line represents the path of Suresh.

Observation

Both Gloria’s path and Suresh’s path are represented by straight line segments joining their respective points.

Conclusion

Thus, the given situation has been represented graphically by plotting the given points and joining them with straight lines on the Cartesian plane.