If A = (−3,5) and B = (4,−1) find the co-ordinate of the mid point

Analyze the question: We need the midpoint of the line segment joining A(−3, 5) and B(4, −1).

Concept: The midpoint formula is

M = ((x₁ + x₂)/2 , (y₁ + y₂)/2)

Solution:

• x-coordinate: (−3 + 4)/2 = 1/2
• y-coordinate: (5 + (−1))/2 = 4/2 = 2

So the midpoint is (½, 2).

Checking the options:

• A. (2, ½): the coordinates are swapped
• B. (½, 2): matches our working
• C. (1, ½): does not match
• D. (0, 2): does not match

Tip: Always add the x-values together and the y-values together separately, then divide each by 2. Watch your signs: −3 + 4 = 1, not 7. Also keep the order (x, y), since the swapped option A is a common trap in JAMB questions.