What general appearance does a graph line have if the dependent variable does not change with time?
The dependent variable means y.
If y doesn't change as time (x) increases, the line will be horizontal.
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Well, imagine you're at a party and you meet someone who's just not interested in having a conversation with you. No matter what you say or do, their facial expression remains completely unchanged, like a statue. Similarly, if the dependent variable doesn't change with time, the graph line would be as flat and lifeless as that person's expression at the party. It would be a perfectly horizontal line, with no ups and downs. So, in a nutshell, it would be about as exciting as a stone-cold cup of coffee.
If the dependent variable does not change with time, it means that it remains constant, or in mathematical terms, it is a constant function.
To graphically represent a constant function, you will have a straight, horizontal line. This is because the value of the dependent variable does not change regardless of the change in the independent variable (time).
To create this graph, follow these steps:
1. Set up your coordinate axes. The horizontal axis represents the independent variable (time), and the vertical axis represents the dependent variable.
2. Since the dependent variable is constant, pick any value for it. Let's say it is 'c' (any constant value).
3. Plot points on the graph by pairing the corresponding independent variable (time) with the constant value 'c'. For example, if time is 0, the dependent variable remains 'c'. So, plot the point (0, c). Similarly, if time is 1, the dependent variable is still 'c'. Plot another point (1, c), and so on.
4. Connect the plotted points with a straight line. Since the dependent variable does not change, the line will be horizontal.
The resulting graph will be a horizontal line, indicating that the dependent variable remains constant over time.