The midpoint of line segment AB is (1,2). The coordinates of A are (-3,6). Find the coordinates of B.

I know how to figure out midpoint, but I'm having trouble figuring out how to do this problem. Any help would be appreciated. :)

To find the coordinates of point B, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (M) of a line segment with endpoints (x1, y1) and (x2, y2) can be found using the following equations:

x-coordinate of M = (x1 + x2) / 2
y-coordinate of M = (y1 + y2) / 2

In this problem, we know the midpoint is (1, 2) and the coordinates of point A are (-3, 6). Let's assign the coordinates of B as (x, y). Applying the midpoint formula, we have:

x-coordinate of midpoint = (x-coordinate of A + x-coordinate of B) / 2
1 = (-3 + x) / 2

To isolate x, we can multiply both sides of the equation by 2 and solve for x:

2 * 1 = 2 * ((-3 + x) / 2)
2 = -3 + x
x = 2 + 3
x = 5

Now, let's find the y-coordinate of point B using the same formula:

y-coordinate of midpoint = (y-coordinate of A + y-coordinate of B) / 2
2 = (6 + y) / 2

To isolate y, we can multiply both sides of the equation by 2:

2 * 2 = 2 * ((6 + y) / 2)
4 = 6 + y
y = 4 - 6
y = -2

Therefore, the coordinates of point B are (5, -2).

To find the coordinates of point B, we need to use the midpoint formula. The midpoint formula states that the coordinates of the midpoint, (Mx, My), is the average of the coordinates of the two endpoints, (Ax, Ay) and (Bx, By):

Mx = (Ax + Bx) / 2
My = (Ay + By) / 2

Given that the midpoint of line segment AB is (1,2) and the coordinates of point A are (-3,6), we can substitute these values into the midpoint formula:

1 = (-3 + Bx) / 2
2 = (6 + By) / 2

Now, we can solve for the coordinates of point B. Multiplying both sides of the first equation by 2, we have:

2 = -3 + Bx

Adding 3 to both sides, we get:

5 = Bx

Similarly, multiplying both sides of the second equation by 2, we have:

4 = 6 + By

Subtracting 6 from both sides, we get:

-2 = By

Therefore, the coordinates of point B are (5,-2).

The midpoint has an x-coordinate that is 4 larger than point A's. It has a y-coordinate that is 4 points less than point A's.

Apply the same changes to the midpoint coordinates to get the location of B.

The x-coordinate will be 1 + 4 = 5
You do the other one.