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Answer:
parallel
Step-by-step explanation:
Parallel lines have equal slopes.
Calculate the slopes m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (2, 3)
m = [tex]\frac{3-2}{2+1}[/tex] = [tex]\frac{1}{3}[/tex]
Repeat with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (3, 1)
m = [tex]\frac{1-0}{3-0}[/tex] = [tex]\frac{1}{3}[/tex]
Since slopes are equal then parallel