Mathematics, 30.06.2019 13:30 kevin72836
What is the equation of this line in standard form? ( explain) a: 6x - 7y = 11 b: 7x - 6y = 11 c: 6x - 5y = -13 d: 6x - 7y = -11 (btw the point near the bottom of the grid is (-3, -1) in case you can't see it very well in the picture.)
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-(-1)=\cfrac{6}{7}[x-(-3)] \\\\\\ y+1=\cfrac{6}{7}(x+3)\implies y+1=\cfrac{6}{7}x+\cfrac{18}{7}\implies y=\cfrac{6}{7}x+\cfrac{18}{7}-1 \\\\\\ y=\cfrac{6}{7}x+\cfrac{11}{7}](/tpl/images/0035/0246/43766.png)
![\bf \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{7}}{7(y)=7\left( \cfrac{6}{7}x+\cfrac{11}{7} \right)}\implies 7y=6x+11\implies -6x+7y=11 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill 6x-7y=-11~\hfill](/tpl/images/0035/0246/b9cd3.png)
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What is the equation of this line in standard form? ( explain) a: 6x - 7y = 11 b: 7x - 6y = 11 c:...
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