Answer:
4x + 3y + 9 = 0
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{-4}{3} $[/tex] and [tex]$ (x_1 , y_1) = (3 , -7) $[/tex].
Substituting in the formula [tex]y + 7 = \frac{-4}{3} (x - 3)[/tex]
[tex]$ \implies 3y + 21 = -4x + 12 $[/tex]
[tex]$ 4x + 3y + 9 = 0 $[/tex]
