Question

Write the linear equation such that each point on its graph has an ordinate 3 times its abscissa.

Answer 1

Let the abscissa of the point be x.
According to the question.
Ordinate, $y=3\times Abscissa$ $\Rightarrow$ $y=3x$
When x = 1, y = 3 $\times$ 1 = 3 and when x = 2, y = 3 $\times$ 2 = 6 (taking some random point).
$\begin{array}{ccc}x& 1& 2\\ y& 3& 6\end{array}$
Here, we find two points A(1, 3) and B(2, 6). Draw the graph by plotting the points and joining the line AB.

Hence, y = 3x is the required equation such that each point on its graph has an ordinate 3 times its abscissa.