What is the constant rate of change

constant slope, straight line

y = m x + b
m is constant rate of change of y with x

The constant rate of change, also known as the slope, represents how much one variable changes in relation to another variable in a linear relationship. It measures the average rate at which one quantity changes with respect to another quantity.

To calculate the constant rate of change between two points (x1, y1) and (x2, y2), you can use the formula:

Rate of change = (y2 - y1) / (x2 - x1)

The rate of change is constant if the value remains the same for any two points on the line.

The constant rate of change, also known as the slope or gradient, is a measure of how a dependent variable changes in relation to an independent variable. To calculate the constant rate of change, you need two sets of data points consisting of an independent variable and a dependent variable. The formula for finding the constant rate of change is:

Rate of Change = (Change in Dependent Variable) / (Change in Independent Variable)

To determine the change in the dependent variable, subtract the initial value of the dependent variable from the final value. Similarly, subtract the initial value of the independent variable from the final value to determine the change in the independent variable. Then, divide the change in the dependent variable by the change in the independent variable to find the rate of change.

For example, let's say we have two sets of data points: (2, 5) and (6, 11). To find the constant rate of change, we calculate:

Change in Dependent Variable = 11 - 5 = 6
Change in Independent Variable = 6 - 2 = 4

Rate of Change = 6 / 4 = 1.5

Therefore, the constant rate of change in this example is 1.5.