Answer:
The coordinates of G are: (-8, -10)
Step-by-step explanation:
Mid point formula:
[tex]x = \dfrac{x_1+x_2}{2}\\y = \dfrac{y_1+y_2}{2}[/tex]
Where,
[tex](x,y)[/tex] are the coordinates of the mid point of the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
As per question statement, we are given that:
[tex]x_2=-4\\y_2=4[/tex]
and
[tex]x=-6\\y=-3[/tex]
To find:
[tex]x_1 = ?\\y_1 = ?[/tex]
Solution:
Let us use the mid point formula:
[tex]-6 = \dfrac{x_1-4}{2}\\\Rightarrow -12=x_1-4\\\Rightarrow x_1=-12+4\\\Rightarrow \bold{x_1=-8}[/tex]
[tex]-3 = \dfrac{y_1+4}{2}\\\Rightarrow -6=y_1+4\\\Rightarrow y_1=-6-4\\\Rightarrow \bold{y_1=-10}[/tex]
The coordinates of G are: (-8, -10)
