emwilliams2707
emwilliams2707 emwilliams2707
  • 18-02-2022
  • Mathematics
contestada

What is the equation of the line that passes through the points (-2,5) and (0,-1)

Respuesta :

Esther
Esther Esther
  • 20-02-2022

Answer:

y = 3x + 11

Step-by-step explanation:

Slope (m)

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{-1-5}{0 - (-2)}[/tex] = [tex]\frac{-6}{2}[/tex] = -3

y = mx + b

y = 3x + b

(-2,5)

y = 3x + b

5 = 3(-2) + b

5 = -6 + b

+ 6  + 6

11 = b

y = 3x + 11

Check:

(-2,5)

y = 3x + 11

5 = 3(-2) + 11

5 = -6 + 11

5 = 5

Hope this helps!

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