Find the rate of change of the linear function shown in the graph. Then find the initial value.
The rate of change is ____.
(Simplify your answer.)
Find the rate of change of the linear function shown in the graph. Then find the initial value. The rate of change is ____.
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To find the rate of change of a linear function from a graph, you need to determine the slope of the line. The slope (rate of change) is calculated using the formula:
[
text{slope} = frac{text{change in } y}{text{change in } x}
]
1. Identify two points on the line from the graph; let’s say Point A ((x_1, y_1)) and Point B ((x_2, y_2)).
2. Calculate the change in (y) ((y_2 – y_1)) and the change in (x) ((x_2 – x_1)).
3. Divide the change in (y) by the change in (x) to find the slope (rate of change).
The initial value is the y-intercept of the linear function, which is the point where the line crosses the y-axis.
If you have specific coordinates for the points or a description of the graph, feel free to share them for more detailed help! Otherwise, you can apply the above steps to find your answers.
Once you have your slope and y-intercept calculated, you can fill in the blanks accordingly.