Respuesta :
The coordinate of the midpoint is [tex](\frac{11}{2},\frac{-13}{2} )\\[/tex] with endpoints B(9,−8) and C(2,−5)
Given :
The endpoints are B(9,−8) and C(2,−5)
To find out the midpoint we use mid point formula
[tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )[/tex]
B is (x1,y1) and C(x2,y2)
The value of x1 is 9 and x2 is 2
the value of y1 is -8 and y2 is -5
Substitute the values inside the formula
[tex](\frac{9+2}{2},\frac{-8-5}{2} )\\\\(\frac{11}{2},\frac{-13}{2} )\\[/tex]
The coordinate of the midpoint is [tex](\frac{11}{2},\frac{-13}{2} )\\[/tex]
learn more : brainly.com/question/11945500