Answer:
slope = [tex]\frac{3}{4}[/tex]
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 )
Rearrange 3y = - 4x + 2 into this form by dividing all terms by 3
y = - [tex]\frac{4}{3}[/tex] x + [tex]\frac{2}{3}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{4}{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{4}{3} }[/tex] = [tex]\frac{3}{4}[/tex]
