Given:

Points (2, 0), (0, 3) and the line x + y = 1.

Assuming:

Let A (2, 0), B (0, 3) be the given points.

To find:

Angle between the line joining the points (2, 0), (0, 3) and the line x + y = 1.

Explanation:

Slope of AB = m₁

Slope of the line x + y = 1 is -1

∴ m₂ = -1

Let θ be the angle between the line joining the points (2, 0), (0, 3) and the line x + y = 1

∴

⇒

Hence, the acute angle between the line joining the points (2, 0), (0, 3) and the line x + y = 1 is .