Question

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Answer 1

Answer:

θ = 45°

Step-by-step explanation:

First we find the slope of line joining points (5,3) and (-1,-3)

We know that,

Slope of line passing through (x₁,y₁) and (x₂,y₂) is :

m = (y₂ - y₁)/(x₂ - x₁)

Here,

x₁ = 5, y₁ = 3, x₂ = -1, y₂ = -3

Slope of line joining  (5,3) and (-1,-3) is :

m = (-3 - 3)/(-1 - 5)

  = -6/-6

  = 1

Now,

Finding angle of slope.

Slope = m tanθ

So,

m = tan θ

⇒ 1 = tan θ

⇒ tan 45° = tan θ

⇒ θ = 45°

Therefore,

Required angle = θ = 45°

Hope it helps!