Answer:
Step-by-step explanation:
When a slope of a line and a point passing through it is given then we use slope - one point form to determine the equation of the line.
It is given by:
[tex]$ (y - y_1) = m (x - x_1) $[/tex]
where [tex]$m$[/tex] is the slope of the line and
[tex]$ (x_1, y_1) $[/tex] is the point passing through it.
Here, [tex]$ m = \frac{-1}{4} $[/tex] and [tex]$ (x_1,y_1) = (-4,8) $[/tex]
Substituting in the equation:
[tex]$ y - 8 = \frac{-1}{4} (x + 4) $[/tex]
[tex]$ \implies 4y - 32 = -x - 4 $[/tex]
[tex]$ \implies x + 4y - 28 = 0 $[/tex]
