Question

Determine the equation of the line by using the point slope form. Put the final answer in mx + b form.

m = 1/2 and point (-12,-2)

Answer 1

The answer should be y= 1/2x + 4

Answer 2

`(\stackrel{x_1}{-12}~,~\stackrel{y_1}{-2})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{2} \\\\\\ \begin{array}c \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}{(-2)}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{(-12)}) \implies y +2 = \cfrac{1}{2} ( x +12) \\\\\\ y+2=\cfrac{1}{2}x+6\implies {\Large \begin{array}{llll} y=\cfrac{1}{2}x+4 \end{array}}`