MikaylaM2006 MikaylaM2006
  • 23-10-2020
  • Mathematics
contestada

Write an equation for a line parallel to the line
y = 1/3x - 4 through (-3, 2)

Respuesta :

devishri1977
devishri1977 devishri1977
  • 25-10-2020

Answer:

[tex]y = \frac{1}{3}x + 3[/tex]

Step-by-step explanation:

Parallel lines have same slope

y = 1/3x - 4

m =[tex]\frac{1}{3}\\[/tex]    and the line passes through (-3, 2)

Equation: y - y₁ = m(x - x₁)

[tex]y - 2 = \frac{1}{3}(x - [-3])\\\\y -2 = \frac{1}{3}(x+3)\\\\\\y - 2 = \frac{1}{3}x+\frac{1}{3}*3\\\\y -2=\frac{1}{3}x +1\\\\y =\frac{1}{3}x + 1+2\\\\y = \frac{1}{3}x + 3[/tex]

             

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