Final answer:
The coordinates of point B are (7, 1).
Step-by-step explanation:
To find the coordinates of point B, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (M) between two points (A and B) can be found by taking the average of the x-coordinates and the average of the y-coordinates. In this case, the x-coordinate of point M is 3, so we can set up the equation: (x-coordinate of A + x-coordinate of B)/2 = 3. We know the x-coordinate of A is -1, so we can substitute that in: (-1 + x-coordinate of B)/2 = 3. Solving for x-coordinate of B, we get -1 + x-coordinate of B = 6, which means x-coordinate of B = 7.
Using the same logic, we can set up an equation to find the y-coordinate of point B. The y-coordinate of M is 3, so we can set up the equation: (y-coordinate of A + y-coordinate of B)/2 = 3. We know the y-coordinate of A is 5, so we can substitute that in: (5 + y-coordinate of B)/2 = 3. Solving for y-coordinate of B, we get 5 + y-coordinate of B = 6, which means y-coordinate of B = 1.
Therefore, the coordinates of point B are (7, 1).