Question

Please help me understand thank you all math experts

Answer 1

`(\stackrel{x_1}{2}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-5}) ~\hfill~ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-5}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{1}-\underset{x_1}{2}}} \implies \cfrac{ -10 }{ -1 } \implies 10`

`\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}{5}=\stackrel{m}{ 10}(x-\stackrel{x_1}{2}) \\\\\\ y-5=10x-20\implies {\Large \begin{array}{llll} y=10x-15 \end{array}}`