Write the equation of a function that passes through
these points.

Question

08-03-2022
Mathematics

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Write the equation of a function that passes through
these points.

Sagot :

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Jdoe0001idn Jdoe0001idn · Answer 1 · 2022-03-08T17:49:05-05:00

to get the equation of any straight line, we simply need two points off of it, let's use the ones in the picture below.

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{13}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{13}-\stackrel{y1}{9}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}}\implies \cfrac{4}{2}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{2}(x-\stackrel{x_1}{1}) \\\\\\ y-9=2x-2\implies y=2x+7[/tex]

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