Answer:
x + 6y + 18 = 0
Step-by-step explanation:
To find the equation of a line when a point passing through it and its slope are give we use slope and one - point form.
It is given by: [tex]$ y - y_1 = m(x - x_1) $[/tex]
where, [tex]$ (x_1, y_1) $[/tex] is the point that passes through it and [tex]$ m $[/tex] is the slope of the line.
Substituting we have: [tex]$ y + 4 = \frac{-1}{6}(x - 6) $[/tex]
[tex]\implies 6y + 24 = -x +6[/tex]
[tex]\implies x + 6y + 18 = 0[/tex]
