Respuesta :

Answer: Third Choice. (2, 0)

Step-by-step explanation:

STEP ONE: Look over the given choice.

When the value of y is 0, the value of x would be the x-intercept.

The given choice are the following:

  • (0, 8/3)
  • (0, 2)
  • (2, 0)
  • (8/3, 0)

As we can see from the choices, the first two do not have the value of y as 0, therefore, they can be automatically neglected. Then, we are left with two choices left.

STEP TWO: Substitute the remaining values into the given equation

Given point = (2, 0)

3y + 4x = 8

3 (0) + 4 (2) = 8

0 + 8 = 8

8 = 8 [tex]\boxed {TRUE}[/tex]

Given point = (8/3, 0)

3y + 4x = 8

3 (0) + 4 (8/3) = 8

0 + 32 / 3 = 8

32/3 ≠ 8 [tex]\boxed {FALSE}[/tex]

Therefore, the ordered pair that represents the x-intercept is (2, 0).

Hope this helps!! :)

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