Answer:
The midpoint (x,y)=(6,9)
Step-by-step explanation:
We need to find midpoints(x,y) of the line segment having endpoints S(8, 8) and T(4, 10)
The formula to find midpoint is:
[tex]Midpoint(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\[/tex]
We are given: [tex]x_1=8, y_1=8, x_2=4 , y_2=10[/tex]
Putting values and finding midpoint
[tex]Midpoint(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\Midpoint(x,y)=(\frac{8+4}{2},\frac{8+10}{2})\\Midpoint(x,y)=(\frac{12}{2},\frac{18}{2})\\Midpoint(x,y)=(6,9)[/tex]
So, the midpoint (x,y)=(6,9)
