The midpoint of AB𝐴𝐵 is at (−4,4)(-4,4) . If A=(−6,6)𝐴=(-6,6) , find B𝐵 .B is
Question
The midpoint of AB𝐴𝐵 is at (−4,4)(-4,4) . If A=(−6,6)𝐴=(-6,6) , find B𝐵 .B is
Solution
The midpoint formula is given by:
M = [(x1 + x2)/2 , (y1 + y2)/2]
Where M is the midpoint. Now, we know that M = (-4,4) and A = (-6,6). Let's denote B as (x2, y2). We can set up the following system of equations to solve for B:
-4 = (-6 + x2)/2 4 = (6 + y2)/2
Solving the first equation for x2 gives: x2 = -42 + 6 = -2 Solving the second equation for y2 gives: y2 = 42 - 6 = 2
So, B = (-2, 2).
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