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10 votes
The midpoint of overline AB is M(-4, -3). If the coordinates of A are (-1, -2) what are the coordinates of B?

User Neilkimmett
by
2.8k points

2 Answers

19 votes
19 votes

Answer:

(-2.5,-2.5)

Explanation:

(-4+-1)÷2=-2.5

(-3+-2)÷2=-2.5

User Natorro
by
2.3k points
22 votes
22 votes

Answer:

(-7, -4)

Explanation:

Equating A and B to the Midpoint (M) :

  • (-4, -3) = (-1 + x / 2, -2 + y / 2)

Equations formed :

  1. -1 + x / 2 = -4
  • -1 + x = -8
  • x = -7

2. -2 + y / 2 = -3

  • -2 + y = -6
  • y = -4

Coordinates of B :

  • (x, y)
  • (-7, -4)
User Sebastian Vom Meer
by
3.0k points