Question

Write the slope intercept form of the line that passes through (1/2, -4) with slope m = 6. Do not use a calculator.

Answer 1

`(\stackrel{x_1}{(1)/(2)}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ 6 \\\\\\ \begin{array}ll \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}{6}(x-\stackrel{x_1}{(1)/(2)}) \implies y +4 = 6 ( x -(1)/(2)) \\\\\\ y +4 = 6 x -3\implies {\Large \begin{array}{llll} y=6x-7 \end{array}}`