What does the slope mean in a scenario

as in any scenario, it is rise/run.

More precisely, it is

the change in the dependent variable
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the change in the independent variable

In a scenario, the slope refers to the steepness or incline of a line on a graph. It measures the rate of change between two variables. The slope is typically represented by the letter "m" in mathematical equations.

To understand what the slope means in a scenario, you first need to identify the variables involved and how they are related. Let's consider a concrete example:

Scenario: John is saving money for a new bike. Each week, he saves a fixed amount.

In this scenario, the variables are John's savings and the number of weeks passed. Let's say John saves $20 each week. We can express this relationship using a linear equation: savings = 20 * weeks.

Now, the slope of this equation represents the rate at which John is saving money over time. In this case, the slope is 20, which means that John saves $20 per week. The positive sign indicates that his savings increase with each passing week.

So, in this scenario, the slope of 20 tells us that John saves $20 per week towards his bike.