Question

Draw the graph of the equation given below.

3x - y = 0

Answer 1

The equation of the given line is 3x − y = 0.

∴ 3x − y = 0

⇒ y = 3x          ...(1)

Putting x = 0 in (1), we get

y = 3 × 0

y = 0

Putting x = 1 in (1), we get

y = 3 × 1

y = 3

Putting x = −1 in (1), we get

y = 3 × (−1)

y = −3

Putting x = 2 in (1), we get

y = 3 × 2

y = 6

These values can be represented in the table in the form of ordered pairs as follows:

x	0	1	-1	2
y	0	3	-3	6
(x, y)	(0, 0)	(1, 3)	(-1, -3)	(2, 6)

The line is the graph of the equation 3x − y = 0.