Respuesta :

-1.25 and 4.75 are your answers. 

Answer:

The x-coordinate is -1.25

The y-coordinate is 4.75

Step-by-step explanation:

Jonathan would like to find the midpoint of the line segment with the endpoints.

F(-10.5,3) and G(8,6.5)

Let mid-point of FG be M(x,y)

We need to find the mid-point of FG.

Formula:

[tex](x,y)\rightarrow (\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]

[tex]x_1\rightarrow -10.5[/tex]

[tex]x_2\rightarrow 8[/tex]

[tex]y_1\rightarrow 3[/tex]

[tex]y_2\rightarrow 6.5[/tex]

[tex](M(x,y)\rightarrow (\dfrac{-10.5+8}{2},\dfrac{3+6.5}{2})[/tex]

[tex](M(x,y)\rightarrow (-1.25,4.75)[/tex]

Hence, The x-coordinate is -1.25 and The y-coordinate is 4.75