Answer :
The coordinate of A is (-5, 9) if M (-1,2) is the midpoint of AB and if B has coordinates of (3,-5).
What is an ordered double?
It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).
[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]
It is given that:
The coordinate of the midpoint of AB is M (-1,2)
The coordinate of B is (3, -5)
Let (x, y) be the coordinate of A.
From the mid-point theorem:
(x + 3)/2 = -1
x + 3 = -2
x = -2 - 3
x = -5
(y - 5)/2 = 2
y - 5 = 4
y = 4 + 5
y = 9
The coordinate of A is (-5, 9) and the coordinate of B is (3, -5)
The mid-point of the line segment AB
The coordinate of M is (-1, 2).
Thus, the coordinate of A is (-5, 9) if M (-1,2) is the midpoint of AB and if B has coordinates of (3,-5).
Learn more about the order double here:
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