Can someone help me out with this question?

Answer:
-6 is the slope
Step-by-step explanation:
Step 1: add 1/5 to both sides
[tex]\frac{1}{5} +y-\frac{1}{5} = -6(x+7)+ \frac{1}{5} \\[/tex]
[tex]y=-6x+\frac{-209}{5}[/tex]
Step 2: follow the code [tex]y=mx+b[/tex]
[tex]y[/tex]=whole
m=slope
b= y-intercept
that means that the slope is -6
Step 3: celebrate
you got the correct answer, now mark me brainliest and celebrate