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Point A is (5, 7).
Point B is (x, y).
The midpoint of AB is (17,-4).
What are the coordinates of B?
A. (22,-9)
B.(12,-11)
C. (29.-15)
D. (8.5,-2)

Sagot :

The coordinate of point B is at (29, -15): Option C is correct.

The formula for calculating the midpoint of two points is expressed as:

[tex]M(x, y) = {\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2}}[/tex]

Given the coordinate points

A is (5, 7).

B is (x, y).

M is (17, -4)

Substituting into the formula to get x and y

17 = 5+x/2

5+x = 34

x = 34 - 5

x = 29

Get the value of y. Similarly;

-4 = 7+y/2

-8 = 7+y

y = -8-7

y = -15

Hence the coordinate of point B is at (29, -15)

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