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This guide illustrates how to use an input/output table when given any type of function. In addition, this guide uses formulas and concepts to create models representing a given set of data.

A **LINEar **model ALWAYS creates a straight **line**. This straight line can be diagonal, horizontal, or vertical.

How can you remember this? The word "line" is **in **linear.

There are four components of a linear model:

**Independent/Input:**Any number you plug into a function. These numbers can be used as x-coordinates.**Dependent/Output:**We can plug any number into a function. After we calculate the function, our answer is our output. These can be used as y-coordinates when graphing.**Slope:**Slope is the constant change between any two sets of coordinates. Pick any 2 coordinates and subtract the y-coordinates and subtract the x-coordinates. Divide those 2 numbers and that will be your slope.**Y-Intercept:**Input is ALWAYS 0. Depending on the scenario, this is most likely the starting point.