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JAMB Mathematics 2015 Paper

Question : 21

Total: 61

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

Solution:

Concept:

The midpoint of two points is the average of their corresponding coordinates.

Explanation:

Given

A = (-3,5)

and

B = (4,-1)

, use the midpoint formula:

M = \left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \right)

Substitute the coordinates:

M = \left( \frac{-3+4}{2}, \frac{5+(-1)}{2} \right)

Simplify each coordinate:

M = \left( \frac{1}{2}, \frac{4}{2} \right)

M = \left( \frac{1}{2}, 2 \right)

Answer:

The coordinates are

\left( \frac{1}{2}, 2 \right)

, which is option B.

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