The required coordinate of b is given as (-7, 4 ).
Given that,
To determine the coordinate of b if M is the midpoint of AB. A(1, -4) and M(-3 ,0).
The midpoint is that point the line whose distance from both the ends of the line is equal.
Here,
We have given two coordinates one of the endpoints of AB and the other is midpoint M i.e. A(1, -4) and M(-3, 0).
Definition of midpoint says,
x = [x₁ + x₂] / 2 ; y = [y₁ + y₂] / 2
x₁ = 1, x = -3 , y₁ = -4, y = 0
now,
-3 = [1 + x₂] / 2 ; 0 = [-4 + y₂] / 2
x₂ = -6 - 1 ; y₂ = 0 + 4
x₂ = -7 : y₂ = 4
Thus, the required coordinate of b is given as (-7, 4 ).
Learn more about midpoints here:
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