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What is the equation of the line, in point-slope form, that passes through the points (4, 8) and (2, -2)?

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\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 4}}\quad ,&{{ 8}})\quad % (c,d) &({{ 2}}\quad ,&{{ -2}}) \end{array} \\\quad \\\\ % slope = m slope = {{ \boxed{m}}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-2-8}{2-4} \\ \quad \\\\ % point-slope intercept y-{{ y_1}}={{ \boxed{m}}}(x-{{ x_1}})\qquad \textit{plug in the values}\\ \left. \qquad \right.\uparrow\\ \textit{point-slope form}
User Zafer Onay
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