First, we will determine the equation of the line
The slope will be
[tex]m=-3[/tex][tex]b=y-mx[/tex]With the point (6,-8)
[tex]b=-8-(-3)\cdot6[/tex][tex]b=-8+18\rightarrow b=10[/tex]Now we evaluate the equation for x = 5
[tex]y=-3(5)+10[/tex][tex]y=-15+10\rightarrow y=-5[/tex]The answer would be: (5, -5)