Answer:
y = [tex]\frac{4}{3}[/tex] x - 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{3}{4}[/tex] x - 3 is in this form
with slope m = - [tex]\frac{3}{4}[/tex]
the slope of a perpendicular line is the negative reciprocal of m, hence
[tex]m_{perpendicular}[/tex] = [tex]\frac{4}{3}[/tex]
(0 , - 1 ) is the y-intercept ⇒ c = - 1
y = [tex]\frac{4}{3}[/tex] x - 1 ← equation of perpendicular line
