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Nastasia [14]
2 years ago
10

Answer fast plz

Mathematics
1 answer:
Tju [1.3M]2 years ago
4 0

Answer:

lines are perpendicular to each other

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

Calculate the slopes of the lines using the slope formula

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

with (x₁, y₁ ) = (- 2, 1 ) and (x₂, y₂ ) = (3, 11 )

m = \frac{11-1}{3-(-2)} = \frac{10}{3+2} = \frac{10}{5} = 2

Repeat with (x₁, y₁ ) = (0, 4 ) and (x₂, y₂ ) = (2, 3 )

m = \frac{3-4}{2-0} = \frac{-1}{2} = - \frac{1}{2}

2 ≠ - \frac{1}{2} , then lines are not parallel

2 × - \frac{1}{2} = - 1 , then lines are perpendicular

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