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Linear Functions
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Basic Concepts on Linear Functions

Example 3

Determine the rule or equation represented by the scatter plot shown in the figure.



Solution

The plotted points in the figure progress in a line; that is, they form a linear pattern. Hence, the equation of such linear pattern is in the form y=mx+b. Notice that whenever x increases by 3, y increases by 2; hence, the slope of the linear pattern is equal to 2 3 . Also, when x=0, y=4. Thus, b=4 and the equation that describes the linear pattern is:

y= 2 3 x+4.