Answer:
see explanation
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 3 = - 9(x + 4) ← is in point- slope form
with slope m = - 9
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-9}[/tex] = [tex]\frac{1}{9}[/tex]
The point (a, b) = (4, - 3), hence
y + 3 = [tex]\frac{1}{9}[/tex] (x - 4) ← equation of perpendicular line
