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Use the points (7,81) and (14,39) from the following data set to determine the point slope form of an equation that represents the data set X | 7 | 8 | 9 | 11 | 13 | 14 | 16 | 18 |Y | 81 | 73 | 70 | 68 | 54 | 47 | 39 | 30 | 12 |



Answer :

We will have the following:

First, we find the slope:

[tex]m=\frac{39-81}{14-7}\Rightarrow m=-6[/tex]

We will then determine the equation of the line:

[tex]y-39=-6(x-14)\Rightarrow y-39=-6x+84[/tex][tex]\Rightarrow y=-6x+123[/tex]

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