Mathematics, 05.07.2019 13:40 hey840
Which equation represents a line that passes through (โ2, 4) and has a slope of 2/5 ?
Answers: 1
![\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ -2}}\quad ,&{{ 4}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{2}{5} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-4=\cfrac{2}{5}[x-(-2)] \implies y-4=\cfrac{2}{5}(x+2) \\\\\\ y-4=\cfrac{2}{5}x+\cfrac{4}{5}\implies y=\cfrac{2}{5}x+\cfrac{4}{5}+4\implies y=\cfrac{2}{5}x+\cfrac{24}{5}](/tpl/images/0054/2499/cd842.png)
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Which equation represents a line that passes through (โ2, 4) and has a slope of 2/5 ?...
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