If 2 lines that are L1 (−2, −1),(1, 5) and L2 (1, 3),(5, −5) are the lines parallel?

Question

please help!

Answer 1

Let the points on L₁ : (x₁, y₁) = (- 2, - 1) and (x₂, y₂) = (1, 5).

Slope (m₁) = [(y₂ - y₁)/(x₂ -x₁)]

m₁ = [(5 - (- 1))/(1 - (- 2))]

m₁  = [(5 + 1)/(1 + 2)]

m₁ = 6/3

⇒ m₁ = 2.

Let the points on L₂ : (x₁, y₁) = (1, 3) and (x₂, y₂) = (5, - 5).

Slope (m₂) = [(y₂ - y₁)/(x₂ -x₁)]

m₂ = [(- 5 - 3)/(5 - 1)]

m₂  = - 8/4

⇒ m₂ = - 2.

Since m₁ is not equals to  m₂, the given lines are not parallel.