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19 votes
19 votes
What is the midpoint of AB¯¯¯¯¯¯¯¯?

What is the midpoint of AB¯¯¯¯¯¯¯¯?-example-1
User Educampver
by
2.4k points

1 Answer

16 votes
16 votes

Answer:


(-4,-(1)/(2))\\

Explanation:

The midpoint between two points can be calculated by
((x_1 +x_2)/(2), (y_1 +y_2)/(2))\\ where
x_n and
y_n is the
xy-coordinates of point
n.

In your case we have two endpoints:
A(-5,-4) and
B(-3,3). So the midpoint can be calculated as:


((x_A +x_B)/(2), (y_A +y_B)/(2)) \\ ((-5 +(-3))/(2), (-4 +3)/(2)) \\ ((-5 -3)/(2),(-4 +3)/(2)) \\ ((-8)/(2),(-1)/(2)) \\ (-4,-(1)/(2))

The midpoint of
\overline{AB} is
(-4,-(1)/(2))\\

User Scott Mildenberger
by
2.9k points