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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!
Nancy
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What is a slope intercept form?
A linear equation in two variables can be written in slope-intercept form, y = mx + b, for real numbers m and b.The slope is m, and the y-intercept is b (the y-coordinate of any point where the graph crosses the y-axis).
How do you interpret the slope and y intercept in a real world case?
How do you interpret the slope and y intercept in a real world case?
What is the range of y equals -4x?
This is the equation of a line with slope -4 and y intercept at 0. The domain is all real numbers as is the range.
What are some real life examples of point slope form?
my mom
What do slope and y intersept represent in real life situations?
The slope is the rate of change, and the y-intercept could be viewed as the starting point. One example could be a phone plan that charges a minimum rate plus a per-minute rate. The money-per-minute would be represented by the slope, and the monthly minimum is the y intercept (the money you pay when minutes = 0).
