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4. Linear Equations in Two Variables
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The following values of $x$ and $y$ are thought to satisfy a linear equation:
$\begin{array}{|c|c|c|} \hline x & 1 & 2 \\ \hline y & 1 & 3 \\ \hline \end{array}$
Draw the graph, using the values of $x, y$ as given in the above table.
At what point the graph of the linear equation
$(i)$ cuts the $x$ -axis.
$(ii)$ cuts the $y$ -axis.
Option A
Option B
Option C
Option D
Solution

From the table, we get two points $A (1,1)$ and $B (2,3)$ which lie on the graph of the linear equation. Obviously, the graph will be a straight line. So, we first plot the points $A$ and $B$ and join them as shown in the $Fig.$.
From the $Fig.$, we see that the graph cuts the $x$ -axis at the point $\left(\frac{1}{2}, 0\right)$ and the $y$ -axis at the point $(0,-1).$
Standard 9
Mathematics
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