Question

The inclination of a line passing through the points (4, 3) and (5, 4) is ______.

Options

• 1

• −1

• 45°

• 60°

Answer 1

The inclination of a line passing through the points (4, 3) and (5, 4) is 45°.

Explanation:

By formula,

Slope = `(y_2−y_1)/(x_2−x_1)`

Substituting values we get:

Slope of line passing through (4, 3) and (5, 4) = `(4−3​)/(5−4) = 1/1​ = 1`

By formula,

⇒ Slope = tan θ

⇒ tan θ = 1

⇒ tan θ = tan 45°

⇒ θ = 45°.