Answer:
(1, -3)
Step-by-step explanation:
Given the Midpoint of UV is M(4, -6) and U(7, -9), we are to find the other coordinate V. The formula for calculating the midpoint of two coordinates is expressed as shown;
M(X,Y) = (x1+x2/2, y1+y2/2)
X = x1+x2/2
Y = y1+y2/2
Given (X,Y) = ()4, -6)
U (x1, y1) = (7, -9)
To get x2 and y2, we will substitute the given values into th formula above;
4 = (7+x2)/2
cross multiply
4*2 = 7+x2
8 = 7+x2
x2 = 8-7
x2 = 1
Similarly for y2;
-6 = (-9+y2)/2
cross multiply
-6*2 = -9+y2
-12 = -9+y2
y2 = -12+9
y2 = -3
Hence the other coordinate V(x2, y2) is (1, -3)
