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JAMB Mathematics 2014 Paper

Question : 25

Total: 47

Find the mid point of S(-5, 4) and T(-3, -2)

Solution:

Concept:

The midpoint of two points is the average of their

x

-coordinates and the average of their

y

-coordinates.

Explanation:

Let

S(x_1, y_1) = S(-5, 4)

and

T(x_2, y_2) = T(-3, -2)

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{-5 + (-3)}{2}, \frac{4 + (-2)}{2} \right)

Simplify:

M = \left( \frac{-8}{2}, \frac{2}{2} \right)

M = (-4, 1)

Answer:

The midpoint is

(-4, 1)

, which is option C.

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