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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