Answer:
perpendicular
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 = y - 5 ( add 5 to both sides )
3x + 5 = y ← in slope- intercept form
with slope m = 3
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9y + 4x = x - 9 ( subtract 4x from both sides )
9y = - 3x - 9 ( divide all terms by 9 )
y = - [tex]\frac{1}{3}[/tex] x - 1 ← in slope- intercept form
with slope m = - [tex]\frac{1}{3}[/tex]
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Parallel lines have equal slopes
The product of the slopes of perpendicular lines = - 1
Thus
the slopes are not equal, thus not parallel lines.
3 × - [tex]\frac{1}{3}[/tex] = - 1 , hence lines are perpendicular
