Let's find the coordinates of the midpoint and the distance one at a time.
Finding the Midpoint
To find the midpoint M, we can use the Midpoint Formula.
M(x_1+x_2/2,y_1+y_2/2)The coordinates of the given endpoints are (-1,-2) and (8,0). Let's use these to find the coordinates of the midpoint.
To find the distance between the points, we can use the Distance Formula.
d=sqrt((x_2-x_1)^2+(y_2-y_1)^2)
Let's substitute the given endpoints, U(-1,-2) and V(8,0), into this formula and simplify.