Answer:
[tex]y=-\frac{5}{6} (x-6)+1[/tex]
Step-by-step explanation:
Using point slope form:
[tex]y=m (x-x_1)+y_1[/tex]
Put in the given parameters:
[tex]m=-\frac{5}{6}[/tex]
[tex]x_1=6[/tex]
[tex]y_1=1[/tex]
Now get the solution:
[tex]y=-\frac{5}{6} (x-6)+1\\[/tex]