Respuesta :

Answer:

  (a)  8x -8y = 32

Step-by-step explanation:

The x- and y-intercepts can be found easily from a standard-form equation for a line:

  ax +by = c

When x=0, the y-intercept is

  0 +by = c

  y = c/b

When y=0, the x-intercept is

  ax +0 = c

  x = c/a

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The graph shows the y-intercept is -4, and the x-intercept is 4. This tells you a couple of things:

  • 'a' and 'b' will have opposite signs
  • 'a' and 'b' will have the same magnitude

Only choice A has these characteristics:

  8x -8y = 32 . . . . . . . . y-intercept = 32/-8 = -4; x-intercept = 32/8 = 4