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The coordinates of the midpoint of AB are (2,4),
and the coordinates of point B are (3,7). What are
the coordinates of point A? [The use of the
accompanying grid is optional.]

Respuesta :

keelanM
Answer:

You can use the midpoint formula.

Method:

MAB = (Ax+Bx)/2 ; (Ay+By)/2

Substitute in what you have:

(2;4) = (Ax+3)/2 ; (Ay+7)/2

Because we know the x coordinate of the midpoint, we can assume that:

2 = (Ax+3)/2

And now solve for Ax:

4 = Ax+3
Ax = 1

Because we know the y coordinate of the midpoint, we can assume that:

4 = (Ay+7)/2

And now solve for Ay:
8 = Ay+7
Ay = 1

Therefore A(1;1)

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