Following observed values of x and y are thought to satisfy a linear equation. Write linear equation

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4. Linear Equations in Two Variables

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The following observed values of $x$ and $y$ are thought to satisfy a linear equation. Write the linear equation:

$\begin{array}{|c|c|c|} \hline x & 6 & -6 \\ \hline y & -2 & 6 \\ \hline \end{array}$

Draw the graph using the values of $x, y$ as given in the above table.

At what points the graph of the linear equation

$(i)$ cuts the $x$ - axis and $(ii)$ cuts the $y$ - axis

Option A

Option B

Option C

Option D

Solution

The linear equation is $2 x+3 y=6 .$ Both the points $(6,-2)$ and $(-6,6)$ satisfy the given linear equation.

Plot the points $(-6,2)$ and $(-6,6)$ on a graph paper. Now join these two points and obtain a line.

We see that the graph cuts the $x$ – axis at $(3,0)$ and $y$ – axis at $(0,2) .$

Standard 9

Mathematics

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