Which equation represents the line that passes through the points (3, 7) and ( - 1, - 1)?

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asked Jun 13, 2018 28.2k views

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Which equation represents the line that passes through the points (3, 7) and ( - 1, - 1)?

Mathematics
college

Zanbaldwin asked

by Zanbaldwin

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$\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 3}}\quad ,&{{ 7}})\quad % (c,d) &({{ -1}}\quad ,&{{ -1}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-1-7}{-1-3}\implies \cfrac{-8}{-4}\implies 2$

$\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-7=2(x-3)\\ \left. \qquad \right. \uparrow\\ \textit{point-slope form} \\\\\\ y-7=2x-6\implies y=2x+1$

Kristof Mols answered Jun 19, 2018

by Kristof Mols

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