Let's analyze the information provided:

The equation given is: $y = 2.5x$

Step 2: Completing the Table

The table currently shows values:

However, the value $y = 1.5$ for $x = 0$ does not satisfy the equation $y = 2.5x$. Let's verify and correct the table:

• When $x = 0$: $y = 2.5(0) = 0$
• When $x = 1$: $y = 2.5(1) = 2.5$
• When $x = 3$: $y = 2.5(3) = 7.5$

Thus, the corrected table should look like this:

Step 3: Plot the Ordered Pairs

The correct points to plot are:

• $(0, 0)$
• $(1, 2.5)$
• $(3, 7.5)$

Step 4: Find Another Ordered Pair

For $x = 0.5$, substitute into the equation: $y = 2.5(0.5) = 1.25$

So, the additional ordered pair is: $(0.5, 1.25)$.

Final Answer Summary:

1. Correct the table to: x & : 0 \quad 1 \quad 3 \quad 0.5 \\ y & : 0 \quad 2.5 \quad 7.5 \quad 1.25 \end{aligned}$$
2. Plot the points $(0, 0)$, $(1, 2.5)$, $(3, 7.5)$, and $(0.5, 1.25)$.

Do you need further help with graphing or verifying these solutions?

Here are 5 follow-up questions to expand this topic:

1. How can we determine the slope of the line using two points?
2. What does the equation $y = 2.5x$ represent graphically?
3. How can you write the equation of a line given its slope and a point?
4. How would the graph change if the slope was negative (e.g., $y = -2.5x$)?
5. What happens to the ordered pairs if the slope changes to 1.5?

Tip: Always substitute $x$-values into the equation to verify ordered pairs before plotting!