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There are several examples, and they are based on two things existing: a rate of change (the slope) and a starting value (the y-intercept).

Example #1: In my town, if I rent a moving van, it costs $39.99 a day and then $0.89 per mile I drive the truck. So, let's say that I'm only going to use the truck for one day and then return it at the end of the day. The amount I'm going to pay (exclusing taxes) is determined by y = 0.89x + 39.99, where "x" is the number of miles I drive the truck and "y" is the cost based on "x" miles.

Example #2: My long distance company charges me $5.00 each month for its special $0.05 per minute rate on long distance. If I want to calculate how much I'm going to pay for my long distance bill (again, excluding any taxes), I can use the linear equation y = 0.05x + 5, where "x" is the number of minutes I call long distance and "y" is the cost of the long distance usage.

Any situation where you have a flat fee (this would be the y-intercept) and a cost that changes based on your usage (the slope) would work to put into this format.

Hope that helps!


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Q: What are some Real life examples of slope intercept line equation?
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