Answer:
y = [tex]\frac{1}{9}[/tex] x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
y = - 9x + b ← is in slope- intercept 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] , thus
y = [tex]\frac{1}{9}[/tex] x + b ← is the partial equation
To find b substitute (- 18, 3) into the partial equation
3 = 2 + b ⇒ b = 3 - 2 = 1
y = [tex]\frac{1}{9}[/tex] x + 1 ← equation of perpendicular line
