Question

what is the approximate length and midpoint of PQ with endpoints p(-3,4) and Q(5, -8)?

Answer 1

Let the points (x₁ , y₁) = (-3, 4) and (x₂, y₂) = (5, - 8)

Distance between the points = √[(x₂ - x₁)² + (y₂ - y₁)²]

                                                = √[(5 + 3)² + (- 8 - 4)²]

                                                = √(64 + 144)

  Approximate length of pq = √208

Mid point between the points = [(x₁+ x₂)/2 , (y₁ + y₂)/2]

                                                = [ (-3 + 5)/2 , (4 - 8)/2 ]

                                                = (1, -2)