Question

What is the midpoint between polnts A (3,-1) and B (8,6)?

A. (11, -7)
B.-5.5, 3.5)
C. (5.5, -3.5)
D.(2,-2)​

Answer 1

The midpoint between points A (3, -1) and B (8, 6) is (5.5, 2.5), which corresponds to option C.

Step-by-step explanation:

The midpoint between two points on the Cartesian plane can be found by averaging the x-coordinates and the y-coordinates of the two points. The formula to find the midpoint M(x, y) between points A(x1, y1) and B(x2, y2) is M = ((x1 + x2)/2, (y1 + y2)/2).

Given the points A (3, -1) and B (8, 6), we can apply this formula:

• The average of the x-coordinates: (3 + 8) / 2 = 11 / 2 = 5.5

• The average of the y-coordinates: (-1 + 6) / 2 = 5 / 2 = 2.5

Therefore, the midpoint between points A and B is (5.5, 2.5). This corresponds to option C in the original question posed by the student.