Question

What is the answer to this question?

Answer 1

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 = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 51, 65) and (x₂, y₂ ) = (- 46, 96)

m = $\frac{96-65}{-46+51}$ = $\frac{31}{5}$

Repeat with (x₁, y₁ ) = (- 37, 85) and (x₂, y₂ ) = (- 6, 80)

m = $\frac{80-85}{-6+37}$ = - $\frac{5}{31}$

Since $\frac{31}{5}$ × - $\frac{5}{31}$ = - 1

Then the lines are Perpendicular