please help: What is the equation of a line parallel to -5x + y= 2 that passes through the point with coordinates (-2, 1)?

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Respuesta :

Answer:

  • y = 5x + 11 or -5x + y = 11

Step-by-step explanation:

Given line:

  • -5x + y = 2

In slope-intercept form:

  • y = 5x + 2

The parallel line has the same slope and will look as:

  • y = 5x + b

This line passes through the point (-2, 1), substitute:

  • 1 = 5*(-2) + b
  • b = 1 + 10
  • b = 11

So the line is:

  • y = 5x + 11

or

  • -5x + y = 11