Answer:
(0,-3) and (0,5)
Step-by-step explanation:
The distance formula says that the distance^2 = {difference between x value}^2 + {difference between y value}^2.
The difference between the x values is 3, and the distance is 5, so...
5^2 = 3^2 + {difference between y value}^2
That means
25 = 9 + {difference between y value}^2
Which simplifies to
16 = {difference between y value}^2
So...
+/- 4 = {difference between y value}
1 +/-4 = -3 OR 5, so the possible coordinates of point A are:
(0,-3) and (0,5)
