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Which equation represents a line parallel to the line shown on the graph? On a coordinate plane, a line goes through (0, 8) and (2, 0).

y = 4 x minus 1
y = negative 4 x + three
y = one-fourth x + 5
y = negative one-fourth x minus 1

Respuesta :

mhanifa

Answer:

  • B) y = negative 4 x + three

Step-by-step explanation:

Find the slope of the line that goes through (0, 8) and (2, 0):

  • m = (y₂ - y₁)/(x₂ - x₁)
  • m = (0 - 8) / (2 - 0) = -8/2 = -4

Parallel lines have equal slopes.

Looking at the choices we see only one of them has the slope of  -4:

  • y = -4x + 3

Slope

  • m=0-8/2-0
  • m=-8/2
  • m=-4

Parallel lines have equal slopes

So

Option B is correct

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