Respuesta :
Answer:
(-6, 6)
Step-by-step explanation:
Let the coordinates of point B be (x, y)
Since, M is the midpoint of AB.
Therefore, by mid-point formula:
[tex] - 5 = \frac{ - 4 + x}{2} \\ - 5 \times 2 = - 4 + x \\ - 10 + 4 = x \\ x = - 6 \\ \\ 4 = \frac{2 + y}{2} \\ 4 \times 2 = 2 + y \\ 8 = 2 + y \\ 8 - 2 = y \\ y = 6 \\ \\ (x, \: \: y) = ( - 6, \: \: 6)[/tex]
Thus, the coordinates of point B are (-6, 6).
The coordinate of B is (-6, 6) if the midpoint of AB is M(-5, 4) and the coordinates of A are (-4, 2),
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).
We have:
The midpoint of AB is M(-5, 4).
The coordinate of A is (-4, 2)
Let the coordinate of B is (x, y)
By using the midpoint property:
(-4+x)/2 = -5
-4 + x = -10
As we know, the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
-4 + x = -10
It is a linear equation in one variable:
x = -6
Similarly for y:
(2+y)/2 = 4
2 + y = 8
y = 6
The coordinate of B is (-6, 6)
Thus, the coordinate of B is (-6, 6) if the midpoint of AB is M(-5, 4) and the coordinates of A are (-4, 2),
Learn more about the order double here:
brainly.com/question/10757890
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