Final answer:
The midpoint of the line segment joining the points S=(-1,-5) and T=(7,-8) is M=(3,-6.5).
Step-by-step explanation:
To find the midpoint of the line segment joining two points, we can use the midpoint formula which states that the x-coordinate of the midpoint is the average of the x-coordinates of the two points, and the y-coordinate of the midpoint is the average of the y-coordinates of the two points.
Given the points S=(-1,-5) and T=(7,-8), we can find the midpoint M as follows:
x-coordinate of M = (x-coordinate of S + x-coordinate of T) ÷ 2 = (-1 + 7) ÷ 2 = 3
y-coordinate of M = (y-coordinate of S + y-coordinate of T) ÷ 2 = (-5 + -8) ÷ 2 = -6.5
Therefore, the midpoint M of the line segment joining the points S=(-1,-5) and T=(7,-8) is M=(3,-6.5).