Find the midpoint of the line segment joining the points P1 and P2
P1=(-1,5); P2=(2,0)
m=(x,y)=? type an ordered pair
Please show work
the midpoint is the average of the endpoints: (-1/2 , 2.5)
To find the midpoint of a line segment joining two points, we can use the midpoint formula, which states that the coordinates of the midpoint are the average of the coordinates of the two points.
Let's denote the coordinates of the midpoint as (x, y).
Given points:
P1 = (-1, 5)
P2 = (2, 0)
To find x-coordinate of the midpoint:
(x-coordinate of midpoint) = (x-coordinate of P1 + x-coordinate of P2) / 2
(x-coordinate of midpoint) = (-1 + 2) / 2 = 1 / 2 = 0.5
To find y-coordinate of the midpoint:
(y-coordinate of midpoint) = (y-coordinate of P1 + y-coordinate of P2) / 2
(y-coordinate of midpoint) = (5 + 0) / 2 = 5 / 2 = 2.5
Therefore, the midpoint of the line segment joining P1 and P2 is (0.5, 2.5).