Answer:
Parallel
Step-by-step explanation:
Calculate the slope m of the lines using the slope formula.
If the slopes are equal then the lines are parallel
If the product of the slopes is - 1 then the lines are perpendicular.
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, - 4) and (x₂, y₂ ) = (- 5, 2)
m = [tex]\frac{2+4}{-5+3}[/tex] = [tex]\frac{6}{-2}[/tex] = - 3 ← slope of L1
Repeat with (x₁, y₁ ) = (1, - 6) and (x₂, y₂ ) = (- 2, 3)
m = [tex]\frac{3+6}{-2-1}[/tex] = [tex]\frac{9}{-3}[/tex] = - 3 ← slope of L2
Since the slopes are equal then the two lines are parallel
