Find the coordinates of the midpoint of the line segment joining A (3, 0) and B (-5, 4).
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → (-1, 2)
The midpoint of the segment joining \((x_1,y_1)\) and \((x_2,y_2)\) lies halfway between the two ends along each axis, so each coordinate is the average of the two ends: \(\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)\).
x-coordinate, the average of the x-coordinates 3 and −5 of A and B: \(\displaystyle\frac{3+(-5)}{2}=\frac{-2}{2}=-1\)
y-coordinate, the average of the y-coordinates 0 and 4: \(\displaystyle\frac{0+4}{2}=2\)