Determine the midpoint of the line segment between the pair of points.
-(6, 1)and (8, 5)
A)(- 1, - 2)
B)(14, 6)
C)(-2, -4)
D)(7, 3)

Question

Quizplus · Accepted Answer

To find the midpoint of a line segment, we need to average the x-coordinates and the y-coordinates of the two points separately. The x-coordinates of the points are 6 and 8, so their average is $(6+8)/2=7$. The y-coordinates of the points are 1 and 5, so their average is $(1+5)/2=3$. Therefore, the midpoint has coordinates (7, 3), which is answer choice D. The midpoint formula is:
Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]
Plugging in the coordinates, we get:
Midpoint = [(6+8)/2, (1+5)/2] = [7, 3]
Therefore, the midpoint of the line segment is (7, 3), which corresponds to choice D.

Determine the Midpoint of the Line Segment Between the Pair