myobok169 myobok169
  • 20-10-2021
  • Mathematics
contestada

What is the equation of the line parallel to y = -5x + 6 and passes through the point (6,-8)?​

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towl35
towl35 towl35
  • 20-10-2021

Answer:

y = -5x + 22 is the equation of our parallel line

Step-by-step explanation:

remember a parallel line will have the same slope.

So let's begin by using the equation above and substituting the points.

[tex]y = - 5x + b \\ - 8 = - 5(6) + b \\ - 8 = - 30 + b \\ 30 - 8 = b \\ b = 22[/tex]

therefore our parallel line would be

[tex]y = - 5x + 22[/tex]

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