Question

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

(0, 8/3)
(0, 2)
(2, 0)
(8/3, 0)​

Answer 1

Answer: Third Choice. (2, 0)

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
`\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 (2, 0).

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