Given that OA =( 2 3) and OB = (-4 5). Find the midpoint M of AB.
Good way of calculation
M = (A+B)/2 = (-1,4)
-1 is halfway from 2 to -4
4 is halfway from 3 to 5
A(2, 3), M(x, y), B(-4, 5).
x-2 = (-4-2)/2.
X = -1.
y-3 = (5-3)/2.
Y = 4.
M(-1, 4).
To find the midpoint M of the line segment AB, we can use the midpoint formula, which states that the coordinates of M are the average of the corresponding coordinates of A and B.
Given that OA = (2, 3) and OB = (-4, 5), the x-coordinate of the midpoint M is the average of the x-coordinates of A and B. Similarly, the y-coordinate of M is the average of the y-coordinates of A and B.
Using the midpoint formula:
x-coordinate of M = (x-coordinate of A + x-coordinate of B) / 2
= (2 + (-4)) / 2
= -2 / 2
= -1
y-coordinate of M = (y-coordinate of A + y-coordinate of B) / 2
= (3 + 5) / 2
= 8 / 2
= 4
Therefore, the coordinates of the midpoint M are (-1, 4).