Answer:
Step-by-step explanation:
If S is the midpoint of R and S and the coordinate R(-9, 4) and S(2, -1), we are to find T.
Usimg the midpoint formula;
[tex]M(X, Y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\\ where; X = \frac{x_1+x_2}{2}\\Y = \frac{y_1+y_2}{2}[/tex]
Given [tex]x_1 = -9, y_1 = 4, X = s \ and \ Y = -1[/tex], to get the other coordinate T (x2, y2), we will use the formula above as shown;
[tex]X = \frac{x_1+x_2}{2}\\2 = \frac{-9+x_2}{2}\\cross \ multiply\\2*2 = -9+x_2\\4 = -9+x_2\\x_2 = 4+9\\ x_2 = 13[/tex]
Similarly to get y2;
Y = y1+y2/6
-1 = 4+y2/2
cross multiply
-1*2 = 4+y2
-2 = 4+y2
y2 = -2-4
y2 = -6
Hence the coordinate T is (13, -6)
