If we changed the 0.2 to a –4 in the equation, what would happen to the graph?

Sure, let's analyze the impact of changing the value in the equation step by step.

1. Identify the original equation: The original equation is not provided, but let's assume it is a linear equation of the form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. For this example, let's assume the original equation is $y = 0.2x + c$.

2. Change the value: The problem states that we change the 0.2 to -4. This means the new equation will be $y = -4x + c$.

3. Analyze the slope change:

   • Original slope (0.2): A positive slope of 0.2 means the line rises slowly as it moves from left to right.
   • New slope (-4): A negative slope of -4 means the line falls steeply as it moves from left to right.

4. Graphical impact:

   • Original graph: The line with a slope of 0.2 would be relatively flat, indicating a gentle incline.
   • New graph: The line with a slope of -4 would be much steeper and would decline sharply.

5. Conclusion: Changing the slope from 0.2 to -4 significantly alters the steepness and direction of the line. The graph will change from a gently rising line to a steeply falling line.

This step-by-step analysis shows how altering the slope in the equation affects the graph's appearance.