Final answer:
The midpoint of the line segment with endpoints P1=(-1,8) and P2=(8,0) is M=(3.5, 4) by using the midpoint formula.
Step-by-step explanation:
To find the midpoint of the line segment with endpoints P1=(-1,8) and P2=(8,0), use the midpoint formula which states that the midpoint M is given by the coordinates M(x,y) where:
x = (x1 + x2) / 2
y = (y1 + y2) / 2
Applying the coordinates of P1 and P2 to the formula:
x = (-1 + 8) / 2 = 7 / 2 = 3.5
y = (8 + 0) / 2 = 8 / 2 = 4
So, the midpoint M has coordinates M=(3.5, 4).