Question

1: Find the equation of the straight line through (-3,1) and (1,17). Pls help asap

Answer 1

`(\stackrel{x_1}{-3}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{17}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{17}-\stackrel{y1}{1}}}{\underset{\textit{\large run}} {\underset{x_2}{1}-\underset{x_1}{(-3)}}} \implies \cfrac{16}{1 +3} \implies \cfrac{ 16 }{ 4 } \implies 4`

`\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}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y -1 = 4 ( x +3) \\\\\\ y-1=4x+12\implies {\Large \begin{array}{llll} y=4x+13 \end{array}}`