Question

The point of intersection of the line represented by 3x – y = 3 and y-axis is given by ______.

Options

• (0, –3)

• (0, 3)

• (2, 0)

• (–2, 0)

Answer 1

The point of intersection of the line represented by 3x – y = 3 and y-axis is given by (0, –3).

Explanation:

Given line, 3x – y = 3  ...(1)

At y-axis, x = 0  ...(2)

Put this value in equation (1), we get

3 × 0 – y = 3

`\implies` –y = 3 or y = –3

∴ The point of intersection is (0, –3).