Question

Write slope - intercept form of the equation (-5,-5) and (0,5)

Answer 1

`(\stackrel{x_1}{-5}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{(-5)}}} \implies \cfrac{5 +5}{0 +5} \implies \cfrac{ 10 }{ 5 } \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}{(-5)}=\stackrel{m}{ 2}(x-\stackrel{x_1}{(-5)}) \implies y +5 = 2 ( x +5) \\\\\\ y+5=2x+10\implies {\Large \begin{array}{llll} y=2x+5 \end{array}}`