Final answer:
The midpoint between the points (3, -1) and (2, 4) is found by averaging the x-coordinates and y-coordinates, resulting in the point (2.5, 1.5).
Step-by-step explanation:
To find the midpoint of two points (3, -1) and (2, 4) in the Cartesian plane, we can use the midpoint formula. This formula is given by ((x1 + x2)/2, (y1 + y2)/2), where (x1, y1) and (x2, y2) are the coordinates of the two points in question. When we apply this formula, we take the average of the x-coordinates and the average of the y-coordinates.
For the x-coordinates, we add 3 and 2 and then divide the sum by 2: (3 + 2)/2 = 5/2 = 2.5.
For the y-coordinates, we add -1 and 4 and then divide the sum by 2: (-1 + 4)/2 = 3/2 = 1.5.
Therefore, the midpoint between the points (3, -1) and (2, 4) is (2.5, 1.5).