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08-11-2018
Mathematics

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20 POINTS What is the equation, in point slope form, for a line that passes through the points (2,3) and (5,2)?

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09-11-2018

The point-slope form:

[tex]y-y_1=m(x-x_1)\\\\m=\dfrac{x_2-x_1}{y_2-y_1}[/tex]

We have the points (2, 3) and (5, 2). Substitute:

[tex]m=\dfrac{2-3}{5-2}=\dfrac{-1}{3}=-\dfrac{1}{3}\\\\y-3=-\dfrac{1}{3}(x-2)[/tex]

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