Question

#4 Write an equation, in slope-intercept form, for a line that passes through (3, 4) and has a y-intercept of -8.​

Answer 1

`(\stackrel{x_1}{3}~,~\stackrel{y_1}{4})\hspace{10em} \stackrel{slope}{m} ~=~ - 8 \\\\\\ \begin{array} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{- 8}(x-\stackrel{x_1}{3}) \\\\\\ y-4=-8x+24\implies {\Large \begin{array}{llll} y=-8x+28 \end{array}}`