The co-ordinates of B are (-7,6)
Step-by-step explanation:
Step 1 :
Given
Mid point of the the AB is M (-6,2)
A = ( -5,-2)
Let the point B be (x,y)
where x is the co ordinate of x and y = co ordinate of y
Step 2 :
The x co-ordinate of a line segment's midpoint obtained by adding the x co-ordinate of its end point and dividing by 2.
The y co-ordinate of a line segment's midpoint obtained by adding the y co-ordinate of its end point and dividing by 2.
Since M is the mid point, we have.,
[tex]\frac{(-5+x)}{2}[/tex] = -6 and [tex]\frac{(-2+y)}{2}[/tex] = 2
so, -5 + x = -12
x = -7
-2 + y = 4
y = 6
Step 3 :
Answer :
The co-ordinates of B are (-7,6)
