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maksim [4K]
3 years ago
9

What is the answer to this question?

Mathematics
1 answer:
svetoff [14.1K]3 years ago
4 0

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

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