When we have a number z:
[tex]z=a+bi[/tex]The complex conjugate will be:
[tex]z^{\ast}=a-bi[/tex]We change the sign of the number next to the i.
In this case, we have:
[tex]z_1=-1+5i[/tex]So, for the complex conjugate, we need to change the sign of the 5.
And the result will be:
[tex]z^{\ast}_1=-1-5i_{}[/tex]Answer:
-1-5i