find the midpoint of the line segment joining the points P_1 and P_2. P_1=(-2,6); P_2=(5,0)

m=(x,y)

please show work

To find the midpoint of a line segment joining two points, you can use the midpoint formula, which states that the coordinates of the midpoint are the average of the coordinates of the two endpoints.

Given points:
P_1 = (-2, 6)
P_2 = (5, 0)

To find the x-coordinate of the midpoint, you can use the formula:
x = (x1 + x2)/2

Using the x-coordinates from the given points:
x = (-2 + 5)/2
x = 3/2
x = 1.5

To find the y-coordinate of the midpoint, you can use the formula:
y = (y1 + y2)/2

Using the y-coordinates from the given points:
y = (6 + 0)/2
y = 6/2
y = 3

Therefore, the midpoint of the line segment joining P_1 and P_2 is (1.5, 3).

midpoint is the average of the endpoints:

(3/2,3)