We need to find the midpoint of a segment HX given the endpoints:
H = (4.5, -4.25) and X = (3.25, -2.75)
where we have written the coordinates (initially in mixed number form) in decimal form for ease of handling operations.
4 1/2 = 4.5
-4 1/4 = -4.25
etc.
Now we apply the formula for the midpoint (in the x and y coordinates separately):
x coordinate of midpoint = (4.5 - 3.25)/2 + 3.25 = 3.875
y coordinate of midpoint = (-2.75 - (-4.25))/2 + (-4.25) = -3.5
So we can write the coordinates of themidpoint as:
(3.875, -3.5) or in mixed number form as: (3 7/8, -3 1/2)