Question

The line passing through (– 2, 0) and (1, 3) makes an angle of ______ with X-axis.

Options

• 60°

• 120°

• 45°

• 135°

Answer 1

The line passing through (– 2, 0) and (1, 3) makes an angle of 45° with X-axis.

Explanation:

Gradient of the line which passes through (– 2, 0) and (1, 3) is m = `(3 - 0)/(1 + 2)` = 1

⇒ tan θ = 1

⇒ θ = `tan^1 (1)` = 45°