kelseyy268
kelseyy268 kelseyy268
  • 04-10-2020
  • Mathematics
contestada

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

Respuesta :

mhanifa
mhanifa mhanifa
  • 04-10-2020

Answer:

  • y = -1/3x - 5

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes, so the line is:

  • y = -1/3x + b

Finding the value of b, using the given point (-9, -2)

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

The line is

  • y = -1/3x - 5
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