Yamini and Fatima,two students of Class $IX$ of a school,together contributed Rs. $100$ towards the Prime Minister's Relief Fund to help the earthquake victims. Write a linear equation which satisfies this data. (You may take their contributions as Rs. $x$ and Rs. $y$.) Draw the graph of the same.

(N/A) Let the contribution of Yamini $= ₹ x$ and the contribution of Fatima $= ₹ y$.
$\therefore$ We have $x + y = 100$
$\Rightarrow y = 100 - x$
Now,we find the coordinates of points to plot the graph:
When $x = 0, y = 100 - 0 = 100$
When $x = 50, y = 100 - 50 = 50$
When $x = 100, y = 100 - 100 = 0$
We get the following table:

$x$	$0$	$50$	$100$
$y$	$100$	$50$	$0$

For drawing the graph,plot the ordered pairs $(0, 100)$,$(50, 50)$,and $(100, 0)$ on a graph paper. Joining these points,we get a line.
Thus,the line represents the graph of $x + y = 100$.