williammoesch williammoesch
  • 25-04-2020
  • Mathematics
contestada

What equation defines a line through points (-2, 7) and (6, -9)

Respuesta :

nktselepov
nktselepov nktselepov
  • 25-04-2020

[tex]7 = - 2k + b \\ - 9 = 6k + b \\ \\ 7 = - 2k + b \\ 9 = - 6k - b \\ \\16 = - 8k \\ k = - 2[/tex]

Now we can find b

[tex]7 = - 2 \times ( - 2) + b \\ 7 = 4 + b \\ b = 3[/tex]

Answer:

[tex]y = - 2x + 3[/tex]

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