Answer:
(8, -15)
Step-by-step explanation:
Midpoint formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2})[/tex]
where [tex](x_1,y_1)[/tex] is the first point (T) and [tex](x_2,y_2)[/tex] is the second point (S)
Step 1. plug in what we have so far into the midpoint formula
[tex](\frac{0+x_2}{2} ,\frac{5+y_2}{2} )[/tex]
but remember, the midpoint is (4, -5)
Step 2. solve for point (S)
The first coordinate of point (S) is the x-coordinate. And to solve for the x-coordinate, (since they're being divided by 2) multiply 2 by 4 (the x-coordinate of the midpoint)
[tex](\frac{0+8}{2},\frac{5+y_2}{2})[/tex]
... (hard to explain for the y-coordinate of point (S))
Point S = [tex](8,-15)[/tex]
