christymaine christymaine
  • 16-12-2021
  • Mathematics
contestada

Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (-3,1) (-7,-2)
Line 2: (2,-1) (8,4)

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sqdancefan
sqdancefan sqdancefan
  • 17-12-2021

Answer:

  neither

Step-by-step explanation:

A graph shows the lines have different slopes. They are almost parallel, but are not actually parallel. They are neither parallel nor perpendicular.

__

The slopes can be found from the slope formula.

  m = (y2 -y1)/(x2 -x1)

Line 1 slope: (-2 -1)/(-7 -(-3)) = -3/-4 = 3/4

Line 2 slope: (4 -(-1))/(8 -2) = 5/6

The slopes are not equal and their product is not -1, so the lines are neither parallel nor perpendicular.

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