Plot the points $T\left( {4, - 2} \right)$ and $V\left( { - 2,4} \right)$ on a Cartesian plane. Whether these two coordinates locate the same point?

Hint: To draw any points on the Cartesian plane first draw x – axis and y – axis. Take a scale and marks points on both coordinate axes and then plot given points. While drawing or plotting any points on the Cartesian plane, students should fix a scale and then plot points with a fixed scale on the x-axis and y-axis to get the correct diagram.

Complete step-by-step answer:
First draw x-axis and y-axis and mark points on both coordinate axes of a fixed scale.
Give numbers to marked scales from 1 onwards to each mark on coordinate axes.
Using these, making the x-axis and y-axis plot given points as shown in the diagram.

From the Cartesian plane we can see that the point $T\left( {4, - 2} \right)$lie in the 4th quadrant and the point $V( - 2,4)$ lies in the 2nd quadrant.
Hence, from above we can say that both given points $T\left( {4, - 2} \right)$ and $V\left( { - 2,4} \right)$ are two different points.

Note: The intersecting x- and y-axes divide the coordinate plane into four sections. These four sections are called quadrants. Quadrants are named using the Roman numerals I, II, III, and IV beginning with the top right quadrant and moving counter clockwise.