Answer:
[tex]M = (9,3)[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (4,8)[/tex]
[tex](x_2,y_2) = (14,-2)[/tex]
Required
Find the midpoint (M)
The midpoint is calculated as follows:
[tex]M = (\frac{1}{2}(x_1+x_2),\frac{1}{2}(y_1+y_2))[/tex]
Substitute values for x's and y's
[tex]M = (\frac{1}{2}(4+14),\frac{1}{2}(8-2))[/tex]
[tex]M = (\frac{1}{2}(18),\frac{1}{2}(6))[/tex]
[tex]M = (\frac{1}{2}*18,\frac{1}{2}*6)[/tex]
[tex]M = (9,3)[/tex]
Hence, the midpoint is (9,3)
