Dontetaylor19 Dontetaylor19
  • 16-12-2019
  • Mathematics
contestada

Which represents a line that is parallel to x-4y=16

Respuesta :

KerryEye KerryEye
  • 22-12-2019

Answer:

x - 4y + b = 0

Step-by-step explanation:

The equation of a line parallel to a line ax + by + c = 0 is ax + by + d = 0.

In other words, the equation of two parallel lines differ by a constant.

Therefore, if the equation of the line is: x - 4y - 16 = 0, then the equation of the line parallel to this should be: x - 4y + d = 0.

If we are given a point, say (x₁, y₁) on the line then we can substitute this point on the equation to determine the value of 'd'.

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