The Midpoint of UV is M(4, -6). Find V given U(7, -9)

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)

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