3x + 2y = 6

⇒ 2y = 6 – 3x

When x = 0, then,

When x = 2, then,

⇒ y = 0

Thus, we have the following table,

Plotting these points we have the following graph,

The blue line in the graph is the required line of the equation, 3x + 2y = 6

According to the graph, the equation,

3x + 2y = 6 cuts the y-axis at the point (0, 3)