Answer :
The expression we have is:
[tex]y+8=-7\left(x+6\right)[/tex]We need to rewrite this in the slope-intercept form, which is as follows:
[tex]y=mx+b[/tex]Step 1: Use the Distributive property to solve the right side of the equation, multiplying -7 by x and -7 by 6:
[tex]y+8=-7x-42[/tex]Step 2: Substract 8 from both sides of the equation
[tex]\begin{gathered} y+8-8=-7x-42-8 \\ y=-7x-50 \end{gathered}[/tex]Answer: the slope intercept form is
[tex]y=-7x-50[/tex]