Question

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Functions Quick Check
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Question
Which of the following is an ordered pair of the relation y=−2/3x+6
?(1 point)
Responses

(3,8)
left parenthesis 3 comma 8 right parenthesis

(0,−2/3)
left parenthesis 0 comma negative Start Fraction 2 over 3 End Fraction right parenthesis

(3,4)
left parenthesis 3 comma 4 right parenthesis

(1,4)

Answer 1

To determine which of the given ordered pairs satisfies the equation \( y = -\frac{2}{3}x + 6 \), we can substitute the \( x \) value of each ordered pair into the equation and see if the corresponding \( y \) value matches.

1. **For (3, 8):**
\[
y = -\frac{2}{3}(3) + 6 = -2 + 6 = 4
\]
(This does not match 8)

2. **For (0, -\frac{2}{3}):**
\[
y = -\frac{2}{3}(0) + 6 = 0 + 6 = 6
\]
(This does not match -\frac{2}{3})

3. **For (3, 4):**
\[
y = -\frac{2}{3}(3) + 6 = -2 + 6 = 4
\]
(This matches 4)

4. **For (1, 4):**
\[
y = -\frac{2}{3}(1) + 6 = -\frac{2}{3} + 6 = 6 - \frac{2}{3} = \frac{18}{3} - \frac{2}{3} = \frac{16}{3} \approx 5.33
\]
(This does not match 4)

The only ordered pair that satisfies the equation \( y = -\frac{2}{3}x + 6 \) is:

**(3, 4)**.