Answer:
H
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 )
Given
3x + 2y = 19 ( subtract 3x from both sides )
2y = - 3x + 19 ( divide all terms by 2 )
y = - [tex]\frac{3}{2}[/tex] x + [tex]\frac{19}{2}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{3}{2}[/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{3}{2} }[/tex] = [tex]\frac{2}{3}[/tex] → H
