The formula of a midpoint between E and F:
[tex]M_{EF}\left(\dfrac{x_E+x_F}{2};\ \dfrac{y_E+y_F}{2}\right)[/tex]
We have the points E(5, -1) and F(-3, 8). Substitute:
[tex]\dfrac{5+(-3)}{2}=\dfrac{2}{2}=1\\\\\dfrac{-1+8}{2}=\dfrac{7}{2}=3.5[/tex]
The required coordinates of the midpoint EF are (1, 3.5).
Given that,
Line segment ED has endpoints E(5,-1) and F(-3,8).
We have to find,
The coordinates of the midpoint EF.
According to the question,
The midpoint formula is used to determine the midpoint between the two given points.
If E [tex](x_1, y_1)[/tex] and [tex]F(x_2, y_2)[/tex] are the coordinates of two given endpoints, then the midpoint formula is given as:
The midpoint of EF = [tex](\dfrac{x_1+x_2}{2}, \ \dfrac{y_1+y_2}{2})[/tex]
Therefore,
Line segment ED has endpoints E(5,-1) and F(-3,8).
The midpoints of EF is,
[tex](\dfrac{x_1+x_2}{2}, \ \dfrac{y_1+y_2}{2})\\\\(\dfrac{5+(-3)}{2}, \ \dfrac{-1+8}{2})\\\\( \ \dfrac{2}{2}, \ \dfrac{7}{2})\\\\( 1, 3.5)[/tex]
Hence, The required coordinates of the midpoint EF is (1, 3.5).
To know more about Midpoints click the link given below.
https://brainly.com/question/2441957
