Question

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

Answer 1

Let abscissa and ordinate of the point be x and y respectively.

According to the question, we have

Ordinate (y) = 3 × abscissa ⇒ y = 3x

When x = 1, then y = 3

When x = 2, then y = 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 these points and joining them.

Hence, y = 3x is the required linear equation.