Mathematics, 30.06.2019 09:30 ehaynie
Find an equation of the line containing the given points. use function notation to write the equation. (2/7, 3/7) and (-1/7, 13/14)
Answers: 1
![\bf \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-\cfrac{3}{7}=-\cfrac{7}{6}\left(x-\cfrac{2}{7} \right) \\\\\\ y-\cfrac{3}{7}=-\cfrac{7}{6}x+\cfrac{1}{3}\implies y=-\cfrac{7}{6}x+\cfrac{1}{3}+\cfrac{3}{7}\implies y=-\cfrac{7}{6}x+\cfrac{7+9}{21} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=-\cfrac{7}{6}x+\cfrac{16}{21}~\hfill](/tpl/images/0034/3962/c949e.png)
![\bf \cfrac{7}{14}\implies \cfrac{7\cdot 1}{7\cdot 2}\implies \cfrac{7}{7}\cdot \cfrac{1}{2}\implies 1\cdot \cfrac{1}{2}\implies \boxed{\cfrac{1}{2}}\impliedby \textit{simplified} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{now, doing some distributing}}{-\cfrac{7}{6}\left( x-\cfrac{2}{7} \right)}\implies \left( -\cfrac{7}{6}\cdot x \right)+\left( -\cfrac{7}{6}\cdot -\cfrac{2}{7} \right)](/tpl/images/0034/3962/84b77.png)
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Find an equation of the line containing the given points. use function notation to write the equatio...
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