If M is the midpoint of line AB.How do i Find the coordinates of B given A(4,-2) and M(1,3).
M = (A + B)/2 ---->
B = 2 M - A = 2(1,3) - (4,-2) =
(2-4,6+2) = (-2,8)
To find the coordinates of point B, you can use the midpoint formula. The formula states that the midpoint M of a line segment with endpoints A and B is equal to the average of the coordinates of A and B.
In this case, you are given the coordinates of point A, which are (4, -2), and the coordinates of the midpoint M, which are (1, 3).
To find the coordinates of point B, you can use the formula:
B = 2M - A
Substituting the given values, you get:
B = 2(1, 3) - (4, -2)
Simplifying, you get:
B = (2 - 4, 6 + 2)
Which gives you:
B = (-2, 8)
Therefore, the coordinates of B are (-2, 8).