Question

Directions: write the slope-intercept form of the equation with the given information.

11) through: (0, -1), slope =1/2

Answer 1

`(\stackrel{x_1}{0}~,~\stackrel{y_1}{-1})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{2} \\\\\\ \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}{(-1)}=\stackrel{m}{ \cfrac{1}{2}}(x-\stackrel{x_1}{0}) \implies y +1= \cfrac{1}{2} (x -0) \\\\\\ y+1=\cfrac{1}{2}x\implies {\Large \begin{array}{llll} y=\cfrac{1}{2}x-1 \end{array}}`