how do you find the rate of change from a linear graph?
rate of change = slope of the line
To find the rate of change from a linear graph, you need to determine the slope of the line. The slope represents how steep or flat the line is, and it gives you the rate at which the dependent variable (y) changes with respect to the independent variable (x).
Here are steps to find the rate of change from a linear graph:
1. Identify two points on the graph. These points should be clearly visible and have distinct x and y coordinates.
2. Label the coordinates of the first point as (x₁, y₁) and the second point as (x₂, y₂).
3. Calculate the change in the y-coordinates by subtracting the initial y-coordinate from the final y-coordinate: Δy = y₂ - y₁.
4. Calculate the change in the x-coordinates by subtracting the initial x-coordinate from the final x-coordinate: Δx = x₂ - x₁.
5. Divide the change in y-coordinates by the change in x-coordinates: rate of change = Δy / Δx.
The resulting value represents the slope of the line, which is the rate of change in the dependent variable (y) with respect to the independent variable (x).