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Viefleur [7K]
3 years ago
11

What is an equation for the line perpendicular to y = 3x – 1 that passes through (-9, -2)?

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
3 0

Answer:

  • y = -1/3x - 5

Step-by-step explanation:

<u>Perpendicular lines have negative reciprocal slopes, so the line is:</u>

  • y = -1/3x + b

<u>Finding the value of b, using the given point (-9, -2)</u>

  • -2 = -1/3*(-9) + b
  • -2 = 3 + b
  • b = -2 - 3
  • b = -5

<u>The line is</u>

  • y = -1/3x - 5
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