Final answer:
The midpoint between the points (-2, 4) and (7, -2) is found using the midpoint formula and the result is (2.5, 1).
Step-by-step explanation:
To find the midpoint between the two points (-2, 4) and (7, -2), you can use the midpoint formula, which is:
(x_{1} + x_{2}) / 2, (y_{1} + y_{2}) / 2
Plugging in the coordinates of the given points, we get:
(-2 + 7) / 2, (4 + (-2)) / 2
5 / 2, 2 / 2
Which simplifies to: 2.5, 1
Therefore, the midpoint between the points (-2, 4) and (7, -2) is (2.5, 1).