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Use the given equation to find the missing coordinates of the points and then find the slope of the line for each equation. y=-3/7x+3, A(..., 6), B(9, ....)

Will give 10 pts :D

User Ryan Yiada
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1 Answer

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y=-\cfrac{3}{7}x+3 \\\\[-0.35em] ~\dotfill


A(x~~,~~\stackrel{y}{6})\qquad \qquad \begin{array}{llll} \stackrel{\textit{since we know that}}{y=-\cfrac{3}{7}x+3}\implies 6=-\cfrac{3}{7}x+3\implies 3=-\cfrac{3x}{7} \\\\\\ 21=-3x\implies \cfrac{21}{-3}=x\implies -7=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x}{9}~~,~~y)\qquad \qquad \begin{array}{llll} \stackrel{\textit{since we know that}}{y=-\cfrac{3}{7}x+3}\implies y=-\cfrac{3}{7}(9)+3\implies y=-\cfrac{27}{7}+3 \\\\\\ y=\cfrac{-27+21}{7}\implies y=-\cfrac{6}{7} \end{array}

User Seyed Jafari
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