Question

Plot the point $(4,5)$ on a graph sheet. Is it the same as $(5,4)$ ?

Answer 1

Draw $XO{X}^{\prime }$ and $YO{Y}^{\prime }$ and let them cut at the origin at $O$. Mark the units along the x-axis and y-axis with a suitable scale.
The given point is $P(4,5)$.
Here the $x-$coordinate of $P$ is $4$ and the $y-$coordinate of $P$ is $5.$
And both are positive. Hence the point $P(4,5)$, lies in the first quadrant.
To plot, start at the Origin $O(0,0)$ . Move $4$ units to the right along the $x-axis$. Then turn and move $5$ units up parallel to $y-axis$. You will reach the point $P(4,5)$. Then mark it. (As shown in the adjoining figure)
Next, let us plot the point $Q(5,4)$. Here the x-coordinate of $Q$ is $5$ and the $y-$coordinate of $Q$ is $4$. And both are positive. Hence, this point $Q(5,4)$ also lies in the quadrant $I$. To plot this point $Q(5,4)$; start at the Origin. Move $5$ units to the right along the $x-axis$ . Then turn and move $4$ units up parallel to $y-axis$. You will reach the point $Q(5,4)$. Then mark it (As shown in the above figure).