Find the equation in standard form of the line with slope (7)/(2) that passes through the point (5,7) Please explain as well

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asked Oct 28, 2018 95.8k views

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Find the equation in standard form of the line with slope

(7)/(2)

that passes through the point (5,7)
Please explain as well

Mathematics
college

Simurg asked

by Simurg

8.5k points

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1 Answer

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$\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ 5}}\quad ,&{{ 7}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{7}{2} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-7=\cfrac{7}{2}(x-5)\implies y-7=\cfrac{7}{2}x-\cfrac{35}{2} \\\\\\ y=\cfrac{7}{2}x-\cfrac{35}{2}+7\implies \stackrel{standard~form}{-\cfrac{7}{2}x+y=-\cfrac{21}{2}}$

Regularjoe answered Nov 4, 2018