Answer:
Step-by-step explanation:
The midpoint formula is
[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex] and we have the coordinates of the midpoint and the coordinates of one endpoint. Filling that in we have:
[tex](-5,-4)=(\frac{-4+x_2}{2},\frac{-7+y_2}{2})[/tex] and we will solve for the missing values one at a time. x first:
[tex]-5=\frac{-4+x_2}{2}[/tex] and
-10 = -4 + x₂ so
-6 = x₂ and do the same for y:
[tex]-4=\frac{-7+y_2}{2}[/tex] and
-8 = -7 + y₂ so
-1 = y₂
Thus, the coordinates of point g are (-6, -1)
