Final answer:
The midpoint of the line segment joining the points P1 = (-4,1) and P2 = (5,7) is found using the midpoint formula and is calculated to be (0.5, 4).
Step-by-step explanation:
To find the midpoint of the line segment joining the points P1 and P2, where P1 = (-4,1) and P2 = (5,7), we use the midpoint formula which is given by:
Midpoint = \(\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)\)
Plugging in the coordinates for P1 and P2:
\(\left(\frac{-4 + 5}{2}, \frac{1 + 7}{2}\right)\) = \(\left(\frac{1}{2}, \frac{8}{2}\right)\)
Therefore, the midpoint is \(\left(0.5, 4\right)\).
This point is exactly halfway between P1 and P2 on the line segment.