Answer:
2nd and 4th are parallel
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
3y + x = 5 ( subtract x from both sides )
3y = - x + 5 ( divide terms by 3 )
y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{5}{3}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{1}{3}[/tex]
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x - 3y = 12 ( subtract x from both sides )
- 3y = - x + 12 ( divide terms by - 3 )
y = [tex]\frac{1}{3}[/tex] x - 4 ← in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
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y = 3x - 2 ← in slope- intercept form
with slope m = 3
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6y - 2x = 7 ( add 2x to both sides )
6y = 2x + 7 ( divide terms by 6 )
y = [tex]\frac{1}{3}[/tex] x + [tex]\frac{7}{6}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
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Parallel lines have equal slopes.
The 2nd and 4th have equal slopes and are parallel
