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Giving the endpoint A(-1,4) and the midpoint C(6,-8) find the other endpoint B(x,y) write your answer as a ordered pair

User Leovp
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The other end point would be (13, -20).

In order to solve these, you must look at the formula for finding the midpoint.

midpoint(x) = (x1 + x2)/2

midpoint(y) = (y1 + y2)/2

Using these two formulas, we can solve for the second point. Let's start with the x value.

midpoint(x) = (x1 + x2)/2 ----> plug in known values

6 = (-1 + x2)/2 ----multiply both sides by 2

12 = -1 + x2 ----> add 1

13 = x2

Now do the same for y.

midpoint(y) = (y1 + y2)/2 ----> plug in known values

-8 = (4 + y2)/2 ----> multiply both sides by 2

-16 = 4 + y2 ----> subtract 4 from both sides

-20 = y2

Given these two point, we now have the ordered pair of (13, -20) for the other end point.

User Zivka
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