Answer:
Perpendicular
Step-by-step explanation:
Parallel lines have equal slopes.
The product of perpendicular slopes = - 1
Calculate the slopes of u and v using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 51, 65) and (x₂, y₂ ) = (- 46, 96)
m = [tex]\frac{96-65}{-46+51}[/tex] = [tex]\frac{31}{5}[/tex]
Repeat with (x₁, y₁ ) = (- 37, 85) and (x₂, y₂ ) = (- 6, 80)
m = [tex]\frac{80-85}{-6+37}[/tex] = - [tex]\frac{5}{31}[/tex]
Since [tex]\frac{31}{5}[/tex] × - [tex]\frac{5}{31}[/tex] = - 1
Then the lines are Perpendicular
