Question

Which order pair can be found on the line y=4/3x
?(1 point)
Responses

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

(9,−12)
left parenthesis 9 comma negative 12 right parenthesis

(9,12)
left parenthesis 9 comma 12 right parenthesis

(3,6)

Answer 1

To determine which ordered pair lies on the line defined by the equation \(y = \frac{4}{3}x\), we can substitute the x-value of each ordered pair into the equation and check if the corresponding y-value matches.

1. For the pair \((4, 3)\):
\[
y = \frac{4}{3} \times 4 = \frac{16}{3} \approx 5.33 \quad (\text{not } 3)
\]

2. For the pair \((9, -12)\):
\[
y = \frac{4}{3} \times 9 = 12 \quad (\text{not } -12)
\]

3. For the pair \((9, 12)\):
\[
y = \frac{4}{3} \times 9 = 12 \quad (\text{this is correct})
\]

4. For the pair \((3, 6)\):
\[
y = \frac{4}{3} \times 3 = 4 \quad (\text{not } 6)
\]

The only ordered pair that satisfies the equation \(y = \frac{4}{3}x\) is \((9, 12)\).