Subject:  Algebra

Distance from (1, 2) to (4, 6)

Use the distance formula to find the length between two points.

Answer distance = 5, midpoint = (2.5, 4)

Solution

  1. Points P₁(1, 2), P₂(4, 6)
  2. Differences Δx = 3, Δy = 4
  3. Distance d = √(Δx² + Δy²) = √(9 + 16) = 5
  4. Midpoint M = ((x₁+x₂)/2, (y₁+y₂)/2) = (2.5, 4)

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