Question

Find the equation of the line using the given information. The slope is 5/6 and it passes through the point (x, y) = (1, 4).

Answer 1

$\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ 1}}\quad ,&{{ 4}})\quad \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{5}{6} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-4=\cfrac{5}{6}(x-1)\implies y-4=\cfrac{5}{6}x-\cfrac{5}{6} \\\\\\ y=\cfrac{5}{6}x-\cfrac{5}{6}+4\implies y=\cfrac{5}{6}x+\cfrac{19}{6}$