Answer:
x - 4y - 36 = 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 + 8 = \frac{1}{4} (x - 4)[/tex].
[tex]\implies 4y + 32 = x - 4[/tex]
[tex]\implies x - 4y - 36 = 0[/tex]
