To determine the initial value and the rate of change of a linear function from a graph, we typically look for the y-intercept (initial value) and the slope (rate of change).
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Initial Value (y-intercept): This is the value of the function when \(x = 0\). You can find it by looking at where the line intersects the y-axis.
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Rate of Change (slope): This is calculated by choosing two points on the line and using the formula: \[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \]
Since I don't have the graph to refer to, I can't determine which of the provided responses is correct. However, you can use the method described above to analyze the graph and check which initial value and rate of change aligns with your observations.
If you have specific values in mind or further details from the graph, please share them!
1 answer