meowmeoww245 meowmeoww245
  • 10-11-2021
  • Mathematics
contestada

Find the value of K so that line passing through the points (k,-1) and (-2,8) is parallel to the equation 3x+y=-7

Respuesta :

devishri1977
devishri1977 devishri1977
  • 10-11-2021

Answer:

k =1

Step-by-step explanation:

3x + y = -7

      y = -3x - 7

m = -3

Parallel lines have same slope

[tex]Slope = -3\\\\\dfrac{8-[-1]}{-2-k}=-3\\\\\\\dfrac{8+1}{-2-k}=-3\\\\\dfrac{9}{-2-k} = -3[/tex]

Cross multiply,

9 = -3(-2-k)

9 = 6 + 3k

9-6 = 3k

3 = 3k

3/3 = k

k = 1

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