Final answer:
The midpoint between the points (6, -4) and (2, 1) is calculated using the averages of the x-coordinates and y-coordinates, resulting in the point (4, -1.5), which is option C.
Step-by-step explanation:
The midpoint between two points (x1, y1) and (x2, y2) in the Cartesian plane is found by taking the average of the x-coordinates and the average of the y-coordinates of the two points, which are given by the formulas:
- Midpoint x-coordinate (Mx) = (x1 + x2) / 2
- Midpoint y-coordinate (My) = (y1 + y2) / 2
For the points (6, -4) and (2, 1), we apply the formulas as follows:
- Mx = (6 + 2) / 2 = 8 / 2 = 4
- My = (-4 + 1) / 2 = -3 / 2 = -1.5
Therefore, the midpoint between the points (6, -4) and (2, 1) is (4, -1.5), which corresponds to option C.