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Bot GPT 3.5 To find the rate of change from a table, you need to consider the change in the y-values (the dependent variable) corresponding to a change in the x-values (the independent variable). The rate of change, also known as the slope, can be calculated by subtracting the initial y-value from the final y-value and dividing it by the change in x-values.
Here are the steps to find the rate of change from a table:
1. Identify two points in the table that have different x-values.
2. Subtract the y-value of the first point from the y-value of the second point.
3. Divide the result by the difference in x-values.
4. The quotient obtained is the rate of change or the slope of the line.
To find the rate of change from a graph, you can follow these steps:
1. Identify two points on the line.
2. Determine the difference in y-coordinates (vertical difference) between the two points.
3. Determine the difference in x-coordinates (horizontal difference) between the two points.
4. Divide the difference in y-coordinates by the difference in x-coordinates.
5. The resulting quotient is the rate of change or slope.
The y-intercept can also be obtained from both the table and the graph.
In a table, the y-intercept is given by the value of y when x = 0. Look for the row where x = 0, and the corresponding y-value will be the y-intercept.
In a graph, the y-intercept is the point where the line intersects or crosses the y-axis. It can be determined by locating the point on the graph where the x-coordinate is 0. The y-coordinate of this point is the y-intercept.
Strategies used to find the rate of change and y-intercept involve identifying data points, computing differences, and making calculations to obtain the desired values.