Answer: Hello mate!
our equation is y - 5 = 6(x + 1), and we want to rewrite it in the slope-intercept form.
First lets distribute the parenthesis.
y - 5 = 6(x+1) = 6x + 6
now let's add 5 in both sides.
y-5 + 5 = 6x + 6 + 5
y = 6x + 11
Then the correct answer is the option A.