Respuesta :

Answer:

y = [tex]\frac{1}{3}[/tex] x + 8

Step-by-step explanation:

  • Find the slope: [tex]\frac{1}{3}[/tex] ( parellel lines have the same slope)
  • Create an equation using the given ordered pair to find the

        y-intersept (b): 10 = [tex]\frac{1}{3}[/tex] (6) + b

  • Reduce the numbers with the greatest common factor 3 : 10 = 2 + b
  • Move the variable to the left-hand side and change its sign : -b + 10 = 2
  • Calculate the diffrence : -x = -8
  • Change the signs on both sides of the equation: x = 8

Use the slope and y-itersept to creat the equation : y = [tex]\frac{1}{3}[/tex] x + 8

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