Answer :
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\
10=\sqrt{(4-(-2))^2+(y-(-1))^2}\\
10=\sqrt{6^2+(y+1)^2}\\
10=\sqrt{36+y^2+2y+1}\\
10=\sqrt{y^2+2y+37}\\
100=y^2+2y+37\\
y^2+2y-63=0\\
y^2+9y-7y-63=0\\
y(y+9)-7(y+9)=0\\
(y-7)(y+9)=0\\
y=7 \vee y=-9\\\\
\boxed{(x,y)=\{(4,-9),(4,7)\}}
[/tex]
