Answer:
y = 3x - 5
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 + 1 is in this 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}{-1/3}[/tex] = 3
y = 3x + c ← is the partial equation
to find c substitute (3, 4) into the partial equation
4 = 9 + c ⇒ c = 4 - 9 = - 5
y = 3x - 5 ← equation of perpendicular line
