To determine if Annie created the graph of the equation \(3x + y = 10\) correctly, let's first rewrite the equation in slope-intercept form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
Starting with the given equation: \[ 3x + y = 10 \] we can solve for \(y\) as follows: \[ y = -3x + 10 \]
From this, we see that:
- The slope (\(m\)) is \(-3\).
- The y-intercept (\(b\)) is \(10\).
Now, we can check if Annie's graph has the correct slope and y-intercept. Since we do not have the graph itself to evaluate, we cannot definitively say if her graph is correct.
However, based on the slope and y-intercept derived from the equation, if Annie reports the slope as \(-3\) and the y-intercept as \(10\), her graph would be correct. If she reports either of these incorrectly, then one of the options would apply.
Since we do not know what values Annie has claimed for these parameters, we cannot select a definitive answer. However, assuming no mistakes are mentioned, we would conclude that: If she got both correct, select option 3. If she got one wrong, select the corresponding option.
Based on the information provided and without any specific values from Annie’s graph:
- Assumed correct: answer would be "3" (Option 3).
Please note that the answer would depend on the correctness of Annie’s reported values for slope and intercept, which are not provided here.