Draw the graph of the linear equation whose solutions are represented by the points having the sum of the coordinates as $10$ units.

Let the coordinates of the point be $(x, y)$.
According to the problem,the sum of the coordinates is $10$,so the linear equation is $x + y = 10$.
To draw the graph,we find at least two solutions for the equation:
If $x = 0$,then $0 + y = 10 \implies y = 10$. So,the point is $(0, 10)$.
If $x = 10$,then $10 + y = 10 \implies y = 0$. So,the point is $(10, 0)$.
If $x = 5$,then $5 + y = 10 \implies y = 5$. So,the point is $(5, 5)$.
Plot these points $(0, 10)$,$(10, 0)$,and $(5, 5)$ on a Cartesian plane and join them with a straight line to obtain the graph of the equation $x + y = 10$.