Question

Draw the graph of each of the following linear equations and answer the following question.
(i) $y=x$

(ii) $y=2x$

(iii) $y=-2x$

(iv) $y=3x$

(v) $y=-3x$
Are all these graphs passing through the origin?

Answer 1

Lets form the tables for drawing the graphs,

(i) $y=x$

$\begin{array}{cccc}x& 1& 2& 3\\ y& 1& 2& 3\end{array}$

(ii) $y=2x$

$\begin{array}{cccc}x& 1& 2& 3\\ y& 2& 4& 6\end{array}$

(iii) $y=-2x$

$\begin{array}{cccc}x& 1& 2& 3\\ y& -2& -4& -6\end{array}$

(iv) $y=3x$

$\begin{array}{cccc}x& 1& 2& 3\\ y& 3& 6& 9\end{array}$

(v) $y=-3x$

$\begin{array}{cccc}x& 1& 2& 3\\ y& -3& -6& -9\end{array}$

Now, lets draw the graphs

From the graph, all these graphs are passing through the origin.

Hence, the answer is "Yes".