Question 990626
(2,y) to be 5 units from (-2,-1).


THIS is the use of the Distance Formula:
{{{sqrt((2-(-2))^2+(y-(-1))^2)=5}}}


These are the possible sequence of arithmetic steps to solve the equation for y.


{{{(2+2)^2+(y+1)^2=25}}}


{{{(y+1)^2=25-16}}}


{{{y+1=0+- sqrt(9)}}}


{{{y=-1+- 3}}}


y=-4  or  y=2
ANSWER DONE.