Mathematics 2015 JAMB Past Questions - Question 47: Find the midpoint of S(-5,4) and T(-3,-2)

Correct Answer

B

Explanation

4(-5,4) T(-3,-2)midpoint =(-5-3 /2) ,(4-2 /2)=(-8/2 ,2/2)=(-4,1)To find the midpoint of the line segment with endpoints S(-5, 4) and T(-3, -2), we can use the midpoint formula.The midpoint formula states that the midpoint M of the line segment with endpoints (x1, y1) and (x2, y2) is given by:\[ M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right) \]Using this formula, we can find the midpoint of S and T:\[ x = \frac{-5 - 3}{2} = \frac{-8}{2} = -4 \]\[ y = \frac{4 - 2}{2} = \frac{2}{2} = 1 \]So, the midpoint of the line segment with endpoints S(-5, 4) and T(-3, -2) is M(-4, 1).