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

Answer

Let the abscissa of the point be $x,$ According to the question, Ordinate $(y) = 3$ $x$ Abscissa $⇒ y= 3x$ When $x = 1,$ then $y = 3 × 1 = 3$ and when $x = 2,$ then $y = 3 × 2 = 6.$
$x$
$1$
$2$
$y$
$3$
$6$
Here, we find two points $A(1, 3)$ and $B(2, 6)$. So, 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.

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