Final answer:
The coordinates of point B are (3, 12), calculated by using the midpoint formula in reverse with the given midpoint M and endpoint A.
Step-by-step explanation:
To find the coordinates of point B, we need to use the midpoint formula. The midpoint formula states that the coordinates of the midpoint M between points A(x1, y1) and B(x2, y2) are given by:
M = ((x1 + x2) / 2, (y1 + y2) / 2)
Given that the coordinates of the midpoint M are (-1, 6) and the coordinates of point A are (-5, 7), we can substitute these values into the midpoint formula:
(-1, 6) = ((-5 + x2) / 2, (7 + y2) / 2)
Simplifying the equation, we get:
-1 = (-5 + x2) / 2
6 = (7 + y2) / 2
Multiplying both sides of the equations by 2, we get:
-2 = -5 + x2
12 = 7 + y2
Solving for x2 and y2, we find that the coordinates of point B are (3, 12).