Answer:
C
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 3x + 6y = 9 into this form
Subtract 6x from both sides
6y = - 3x + 9 ( divide all terms by 6 )
y = - [tex]\frac1}{2}[/tex] x + [tex]\frac{3}{2}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{1}{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{1}{2} }[/tex] = 2 → C
