Topic 13 - of a graph is a good start. But the best way to...

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In this topic, you continued to use familiar forms for the equation of a line to create models for data that followed linear trends. Slope-intercept form: y = mx + b Point-slope form: y - y 1 = m(x - x 1 ) Standard form: Ax + By = C You also learned that every linear function can be thought of as a series of transformations on the parent function y = x. By adjusting the slope to make the parent function steeper or flatter and changing the y -intercept to shift it up or down, you were able to create linear models for data. *CREATING LINEAR MODELS FOR DATA* **
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When you want to determine whether using a linear model to represent data is appropriate, examining the appearance
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Unformatted text preview: of a graph is a good start. But the best way to find out whether the data are relatively linear is to analyze the rate of change between the variables in tables. If the ratio of the change in the y-values to the change in the x-values is relatively constant, then a linear model is appropriate. Creating models for data is an important theme in mathematics. What you have learned about creating linear models in this topic forms a basis for creating models of nonlinear data. You will learn how to create models for nonlinear data in future topics in this algebra course, as well as in your other mathematics courses....
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Topic 13 - of a graph is a good start. But the best way to...

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