Final answer:
The midpoint between points P(-1, 2) and Q(-2, -4) is calculated using the midpoint formula and results in M = (-1.5, -1).
Step-by-step explanation:
The question asks to find the midpoint between two points, P(-1, 2) and Q(-2, -4). To find the midpoint M, we use the midpoint formula:
M = \(\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)\)
Substitute the given points into the formula:
M = \(\left(\frac{-1 - 2}{2}, \frac{2 - 4}{2}\right)\)
M = \(\left(\frac{-3}{2}, \frac{-2}{2}\right)\)
M = \(\left(-1.5, -1\right)\)
Therefore, the midpoint M between points P(-1, 2) and Q(-2, -4) is (-1.5, -1).