Question

The graph of the linear equation 2x + 3y = 6 cuts the y-axis at the point ______.

Options

• (2, 0)

• (0, 3)

• (3, 0)

• (0, 2)

Answer 1

The graph of the linear equation 2x + 3y = 6 cuts the y-axis at the point (0, 2).

Explanation:

Since, the graph of linear equation 2x + 3y = 6 cuts the y-axis.

So, we put x = 0 in the given equation 2x + 3y = 6, we get

2 × 0 + 3y = 6

⇒ 3y = 6

y = 2

Hence, at the point (0, 2), the given linear equation cuts the y-axis.