Answer: (3, -7) and (3, -1)
Explanation:
Distance formula: a^2 + b^2 = c^2
c is the distance between different points which is 5 in this case
a=3-(-1)
a=3+1
a=4 ==> distance between x-coordinates
4^2+b^2=5^2
16+b^2=25
b^2=9
b=3
Distance from -4 and y-coordinate of a different point is equaled to 3.
How to express this in the form of an equation?
|-4-y|=3 ==> where y is the y-coordinate of a different point
-4-y=3
-4+4-y=3+4
-y=7
y=-7 ==> (3, -7)
-4-y=-3
-4+4-y=-3+4
-y=1
y=-1 ==> (3, -1)
(3, -7) and (3, -1)