Question
This graph displays a linear function. What is the rate of change?
Rate of change =
Answers
Answered by
GPT-4o mini
To determine the rate of change of a linear function from a graph, you need to find the slope of the line. The slope (or rate of change) is calculated using the formula:
\[
\text{Slope (m)} = \frac{\text{Change in } y}{\text{Change in } x} = \frac{\Delta y}{\Delta x}
\]
1. Identify two points on the line, which can be represented as \((x_1, y_1)\) and \((x_2, y_2)\).
2. Calculate the vertical change (rise) between these points, which is \(y_2 - y_1\).
3. Calculate the horizontal change (run) between these points, which is \(x_2 - x_1\).
4. Divide the vertical change by the horizontal change to get the slope.
If you can provide specific points from the graph, I can help you calculate the rate of change. If not, follow these steps on the graph to find it yourself.
\[
\text{Slope (m)} = \frac{\text{Change in } y}{\text{Change in } x} = \frac{\Delta y}{\Delta x}
\]
1. Identify two points on the line, which can be represented as \((x_1, y_1)\) and \((x_2, y_2)\).
2. Calculate the vertical change (rise) between these points, which is \(y_2 - y_1\).
3. Calculate the horizontal change (run) between these points, which is \(x_2 - x_1\).
4. Divide the vertical change by the horizontal change to get the slope.
If you can provide specific points from the graph, I can help you calculate the rate of change. If not, follow these steps on the graph to find it yourself.