Question

Help help help help help help help help??

Answer 1

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture above.

`(\stackrel{x_1}{2}~,~\stackrel{y_1}{12})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{18}) ~\hfill~ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{18}-\stackrel{y1}{12}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{2}}} \implies \cfrac{ 6 }{ 3 } \implies 2`

`\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}{12}=\stackrel{m}{2}(x-\stackrel{x_1}{2}) \\\\\\ y -12 = 2 x -4 \implies {\Large \begin{array}{llll} y = 2 x +8 \end{array}}`