To determine if a given graph represents the function \(y = -\frac{2}{5}x + 3\), you would need to check if the graph is linear and has a slope of \(-\frac{2}{5}\) and a y-intercept of \(3\).
Since I cannot see the graph, I can't definitively answer whether the graph matches the given function. However, you can follow these steps:
- Check for Linearity: The graph should be a straight line.
- Identify the Slope: The slope \(-\frac{2}{5}\) indicates that for every 5 units you move right (positive x-direction), the line moves down 2 units (negative y-direction).
- Identify the Y-Intercept: The graph should cross the y-axis at \(y = 3\).
If all of these conditions are satisfied, the answer is 1 (yes). If any of these conditions are not met, the answer is 2 (no).
Please examine the graph using these criteria to determine your answer.