We will use the two points formula for the equation of a line:
[tex]y-4=\frac{4-(-5)}{-8-1}(x-(-8))\text{.}[/tex]Taking the above equation to its slope-intercept form we get:
[tex]\begin{gathered} y-4=\frac{9}{-9}(x+8), \\ y=-x-8+4, \\ y=-x-4. \end{gathered}[/tex]Answer:
[tex]y=-x-4.[/tex]