Question

A Line Passes Through The Point (-6, -7) and has a slope of 3 Over 2.

Write An Equation In Slope-Intercept Form For This Line

Answer 1

`(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-7})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{3}{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}{(-7)}=\stackrel{m}{ \cfrac{3}{2}}(x-\stackrel{x_1}{(-6)}) \implies y +7 = \cfrac{3}{2} ( x +6) \\\\\\ y+7=\cfrac{3}{2}x+9\implies {\Large \begin{array}{llll} y=\cfrac{3}{2}x+2 \end{array}}`