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faust18 [17]
3 years ago
6

Which ordered pair represents the x-intercept for the linear equation, 3y+4×=8?

Mathematics
1 answer:
Natali [406]3 years ago
5 0

Answer: Third Choice. (2, 0)

Step-by-step explanation:

<u>STEP ONE: Look over the given choice.</u>

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)
  • <u>(2, 0)</u>
  • <u>(8/3, 0)</u>

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.

<u>STEP TWO: Substitute the remaining values into the given equation</u>

Given point = (2, 0)

3y + 4x = 8

3 (0) + 4 (2) = 8

0 + 8 = 8

8 = 8 \boxed {TRUE}

Given point = (8/3, 0)

3y + 4x = 8

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

0 + 32 / 3 = 8

32/3 ≠ 8 \boxed {FALSE}

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

Hope this helps!! :)

Please let me know if you have any questions

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