Answer:
A (0, - 2 ) or A (0, 6 )
Explanation:
Using the distance formula
d =
with (x₁, y₁ ) = B(3, 2) and (x₂, y₂ ) = A(0, y )
AB =
=
=
Given AB = 5 then equating gives
= 5 ( square both sides )
9 + (y - 2)² = 25 ( subtract 9 from both sides )
(y - 2)² = 16 ( take square root of both sides )
y - 2 = ±
= ± 4 ( add 2 to both sides )
y = 2 ± 4
Then y = 2 - 4 = - 2 or y = 2 + 4 = 6
Possible coordinates of point A are
A (0, - 2 ) or A (0, 6 )