<PRE><B>Question 1173445</B>
&lt;br&gt;
Using formal algebra....&lt;br&gt;
The x and y coordinates of the midpoint are the averages of the x and y coordinates of the two endpoints.&lt;br&gt;
A(1,-3)
M(3,-2)
B(m,n)&lt;br&gt;
(m+1)/2 = 3 --&gt; m+1 = 6 --&gt; m = 5&lt;br&gt;
(n-3)/2 = -2 --&gt; n-3 = -4 --&gt; n = -1&lt;br&gt;
ANSWER: B(5,-1)&lt;br&gt;
You should understand how that process gives you the answer; and you should know how to solve the problem by that method.&lt;br&gt;
But if solving without formal algebra is allowed, an informal solution is much faster and easier:&lt;br&gt;
From A(1,-3) to the midpoint M(3,-2) is 2 units to the right and 1 unit up; from the midpoint M(3,-2) to the other endpoint B is again 2 units to the right and 1 unit up:&lt;br&gt;
B is (3+2,-2+1) = (5,-1).&lt;br&gt;

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