Final answer:
The coordinates of the midpoint of the segment with endpoints A(-5,1) and M(6,5) are calculated using the midpoint formula to be (0.5, 3).
Step-by-step explanation:
To find the coordinates of the midpoint of a line segment with given endpoints, you apply the midpoint formula. The midpoint formula is ((x1 + x2)/2, (y1 + y2)/2), where (x1, y1) and (x2, y2) are the coordinates of the endpoints of the segment. In this case, the coordinates of the endpoints are A(-5,1) and M(6,5).
Using the midpoint formula, we find the x-coordinate of the midpoint by adding together the x-coordinates of A and M and dividing by 2:
x-coordinate of midpoint = (-5 + 6)/2 = 0.5
Similarly, we find the y-coordinate of the midpoint by adding together the y-coordinates of A and M and dividing by 2:
y-coordinate of midpoint = (1 + 5)/2 = 3
Therefore, the coordinates of the midpoint of AM are (0.5, 3).