To identify the graph that matches the linear equation \(6x + y = -4\), we can 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 equation:
\[ 6x + y = -4 \]
We can isolate \(y\):
\[ y = -6x - 4 \]
From this equation, we see that:
- The slope (\(m\)) is \(-6\)
- The y-intercept (\(b\)) is \(-4\)
This means the line will go down steeply as \(x\) increases and will cross the y-axis at \(y = -4\).
When looking for the correct graph, you should look for:
- A steep downward slope.
- The point where the graph intersects the y-axis at \(-4\) (which is the point \( (0, -4) \)).
Please refer to the available graphs and select the one that meets these criteria. If you need further assistance in identifying which graph it might be, please describe the graphs available to you.
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