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Answer:
C
Step-by-step explanation:
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]
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x + 4y = 12 ( subtract 3x from both sides )
4y = - 3x + 12 ( divide terms by 4 )
y = - [tex]\frac{3}{4}[/tex] x + 3 ← in slope- intercept form
with slope m = - [tex]\frac{3}{4}[/tex]
Then
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{-\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex] → C