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Mathematics

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

  1. 1

  2. -1

  3. 45°

  4. 60°

Straight Line Eq

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Answer

By formula,

Slope = y2y1x2x1\dfrac{y2 - y1}{x2 - x1}

Substituting values we get :

Slope of line passing through (4, 3) and (5, 4) = 4354=11\dfrac{4 - 3}{5 - 4} = \dfrac{1}{1} = 1.

By formula,

⇒ Slope = tan θ

⇒ tan θ = 1

⇒ tan θ = tan 45°

⇒ θ = 45°.

Hence, Option 3 is the correct option.

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