Which of the following points is an equal distance (equidistant) from a(2, −2) and b(−4, 6)?
1 answer:
The point equidistant from a(2, -2) and b(-4, 6) is the midpoint
For (x₁, y₁) and (x₂, y₂) the midpoint is given by:
( (x₁ + x₂)/2 , (y₁ + y₂)/2 )
Midpoint = ( (2 + -4)/2 , (-2 + 6)/2 )
= ( (2 - 4)/2 , (6 - 2)/2) ) = ( -2/2, 4/2) = (-1, 2)
So the point equidistant from the two points is (-1, 2).
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