Respuesta :

Answer: 4/7

Step-by-step explanation: If you graph out the equation sand do rise/run to get your slope, the rise will be 4 and the run will be 7.

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Answer:

  • The slope is 4/7.

Step-by-step explanation:

We know that:

  • Formula = y = mx + b
  • Equation given = 4x - 7y = 14

Step-1: Change the equation into its original form.

  • 4x - 7y = 14
  • => -14 + 7y + 4x - 7y = 14 + 7y - 14
  • => -14 + 4x = 7y
  • => 7y = 4x - 14
  • => y = 4x/7 - 14/7
  • => y = 4x/7 - 2

Now, let's compare the equation with its formula.

  • => (y = mx + b) = (y = 4x/7 - 2)

We can clearly see that the slope is 4/7.