Question

Which ordered pairs represent points on the graph of this equation? Select all that apply.
y= 1/3 x

Answer 1

To determine which ordered pairs represent points on the graph of the equation \( y = \frac{1}{3} x \), we need to check the pairs to see if they satisfy the equation.

The equation can be rewritten in terms of \( x \) for specific values of \( y \):

1. For \( x = 0 \):
\[
y = \frac{1}{3}(0) = 0 \quad \Rightarrow \quad (0, 0)
\]

2. For \( x = 3 \):
\[
y = \frac{1}{3}(3) = 1 \quad \Rightarrow \quad (3, 1)
\]

3. For \( x = 6 \):
\[
y = \frac{1}{3}(6) = 2 \quad \Rightarrow \quad (6, 2)
\]

4. For \( x = 9 \):
\[
y = \frac{1}{3}(9) = 3 \quad \Rightarrow \quad (9, 3)
\]

5. For \( x = -3 \):
\[
y = \frac{1}{3}(-3) = -1 \quad \Rightarrow \quad (-3, -1)
\]

You can use any ordered pairs of \( (x, y) \) and substitute \( x \) into the equation to calculate if \( y \) matches the point.

If you have a specific list of ordered pairs to evaluate, please provide them, and I can assist you in identifying which pairs satisfy the equation \( y = \frac{1}{3} x \).