Question

How do you plot the ordered pairs on the rectangular coordinate system$A\left( 4,6 \right),B\left( 2,-2 \right)$?

Answer 1

Hint: We are well aware of the rectangular coordinate system or more popularly known as the Cartesian Coordinate system. It consists of two real number lines which extend to infinity. These real lines are axes. We have the $x$- axis which is the horizontal line and the $y$- axis which is the vertical line. These two intersect at a point called the origin denoted by $O\left( 0,0 \right)$. To plot a point on the plane, we need two values.

Complete step by step answer:
We need two values to plot a point on the rectangular coordinate system.
These two values are enclosed within a pair of brackets and are represented by $\left( x,y \right)$.
The two values are known as the coordinates. One is the $x$ coordinate , also known as the abscissa , specifies the distance of the point from the $y$- axis. And the other is the $y$coordinate, also known as the ordinate , specifies the distance of the point from the $x$- axis.
So now let us plot the points $A\left( 4,6 \right),B\left( 2,-2 \right)$.
In $A\left( 4,6 \right)$, the distance of the point from $y$- axis is $4$ and the distance of the point from the $x$- axis is $6$. In the same way in point $B\left( 2,-2 \right)$ the distance of the point from $y$- axis is $2$ and the distance of the point from the $x$- axis is $-2$.
Upon plotting, we get the following :

Note: We should be very careful while plotting the points. We should not reverse up the coordinate as this is an often mistake that we make. Plotting as a concept should be taken carefully as we will be asked to plot typical functions or expressions in the exams. So it is important to start from the scratch and to learn them carefully. If we want to , we can join these points and form a line. Since we are not asked in the question, we do not have to do so.