Respuesta :

Answer:

To find the x intercept, let y=0. To find the y-intercept, let x=0. Hence, the x-intercept of the given equation is -2 and the y-intercept is -5/2.

Step-by-step explanation:

Let - 5x - 4y = 10 be the given equation.

Simplify the whole equation by dividing both sides by -1 :

  • 5x + 4y = -10

To get the x-intercept, simply let y=0 :

  • 5x + 4(0) = -10 (substitution)
  • 5x = -10           (evaluate)
  • x = -2               (simplify by dividing both sides of the equation by 5)

To get the y-intercept, simply let x=0 :

  • 5(0) +4y = -10  (substitution)
  • 4y = -10            (evaluate)
  • y = -10/4           (simplify by dividing both sides of the equation by 4)
  • y = -5/2            (simplify the fraction)

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