Answer:
y = - 3x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c (m is the slope and c the y- intercept )
y = [tex]\frac{1}{3}[/tex] x - 2 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
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}{\frac{1}{3} }[/tex] = - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute (- 2, 5) into the partial equation
5 = 6 + c ⇒ c = 5 - 6 = - 1
y = - 3x - 1 ← equation of perpendicular line
