Answer:
y = 3x - 10
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 - 4 ← 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 , then
y = 3x + c ← is the partial equation
To find c substitute (3, - 1 ) into the partial equation
- 1 = 9 + c ⇒ c = - 1 - 9 = - 10
y = 3x - 10 ← equation of perpendicular line
