Answer:
y-5=3x+2
Step-by-step explanation:
1) to make up the equation through the given two points:
[tex]\frac{x+8}{-6+8}= \frac{y+1}{5+1}; \ => \ y=3x+24[/tex]
2) to change that equation according to the condition:
y-5=3x+24-5; ⇔ y-5=3x+19.
P.S. the way suggested above is not the shortest one.