The coordinate of the midpoint is \((\frac{11}{2},\frac{-13}{2} )\\\) 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
\((\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )\)
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
\((\frac{9+2}{2},\frac{-8-5}{2} )\\\\(\frac{11}{2},\frac{-13}{2} )\\\)
The coordinate of the midpoint is \((\frac{11}{2},\frac{-13}{2} )\\\)
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