explodesmexplode
explodesmexplode explodesmexplode
  • 19-07-2022
  • Mathematics
contestada

Find the equation of the line parallel to y = 2x - 4 that runs through the point (-2, 4).

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devishri1977
devishri1977 devishri1977
  • 19-07-2022

Answer:

y = 2x + 8

Step-by-step explanation:

Equation of line:

  Parallel lines have same slope.

 y = 2x - 4

Slope = 2

Point (-2 ,4)

Equation of line in point-slope form:

         y - y₁ = m(x - x₁)

        y - 4  = 2(x - [-2] )

       y - 4   = 2(x + 2)

       y -4   = 2x + 4

             y = 2x + 4 + 4

        [tex]\sf \boxed{y = 2x + 8}[/tex]

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