Note that point-slope equation is: (y - y₁) = m(x - x₁)
Also note that f(x) = y
Isolate the y. Subtract 7 from both sides:
y + 7 = –(x + 6)
y + 7 (-7) = -(x + 6) - 7
y = -(x + 6) - 7
Note that the equation is really: y = -1(x + 6) - 7
Distribute -1 to all terms within the parenthesis
y = -1(x + 6) - 7
y = -x - 6 - 7
Simplify. Combine like terms
y = -x - 13 ; or f(x) = -x - 13, which is none of the above.
Please check and verify your choices.
hope this helps