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Leto [7]
2 years ago
8

Given the points below, are the two lines parallel, perpendicular, or neither.

Mathematics
2 answers:
Tresset [83]2 years ago
6 0

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

with (x₁, y₁ ) = (- 3, - 4) and (x₂, y₂ ) = (- 5, 2)

m = \frac{2+4}{-5+3} = \frac{6}{-2} = - 3 ← slope of L1

Repeat with (x₁, y₁ ) = (1, - 6) and (x₂, y₂ ) = (- 2, 3)

m = \frac{3+6}{-2-1} = \frac{9}{-3} = - 3 ← slope of L2

Since the slopes are equal then the two lines are parallel

deff fn [24]2 years ago
4 0

Answer:

The given lines are parallel when plotted in graph.

Step-by-step explanation:

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