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

Answer

As per question, the sum of the coordinates is $10$ units. Let $x$ and $y$ be two coordinates, then we get $x + y = 10.$
For $x = 5, y = 5,$ therefore, $(5, 5)$ lies on the graph of $x + y = 10.$
For $x = 3, y = 7,$ therefore, $(3, 7)$ lies on the graph of $x + y = 10.$
Now, plotting the points $(5, 5)$ and $(3, 7)$ on the graph paper and joining them by a line,
we get graph of the linear equation $x + y = 10.$

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