Answer:
[tex]m = (2,6)[/tex]
Step-by-step explanation:
Given
A(5, 8) and B(-1,-4)
Required
Determine the midpoint
Represent the midpoint with m
m is calculated as thus:
[tex]m = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]
Where:
[tex](x_1,y_1) = (5,8)[/tex] ---- A
[tex](x_2,y_2) = (-1,4)[/tex] ------ B
So, the expression:
[tex]m = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]
becomes
[tex]m = (\frac{5 -1}{2},\frac{8 + 4}{2})[/tex]
[tex]m = (\frac{4}{2},\frac{12}{2})[/tex]
[tex]m = (2,6)[/tex]
Hence, the coordinates of the midpoint is: (2,6)