Medium
The midpoint of the line segment joining A(2, −3) and B(x, y) is M(5, 1). Find the coordinates of B.
Explanation
Explanation
Step 1: Midpoint formula: M = ((x₁ + x₂)/2, (y₁ + y₂)/2).
Step 2: For the x-coordinate: (2 + x)/2 = 5, so 2 + x = 10 and x = 8.
Step 3: For the y-coordinate: (−3 + y)/2 = 1, so −3 + y = 2 and y = 5.
Step 4: Verify: midpoint of (2, −3) and (8, 5) = (10/2, 2/2) = (5, 1) ✓.
Answer: B = (8, 5).
PRO TIP
Re-check your working by substituting the answer back into the original question.