Question

Through: (-1,-2), slope=-5/2

Answer 1

now, assuming it's asking for its equation.

`(\stackrel{x_1}{-1}~,~\stackrel{y_1}{-2})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{5}{2} \\\\\\ \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}{(-2)}=\stackrel{m}{- \cfrac{5}{2}}(x-\stackrel{x_1}{(-1)}) \implies y +2 = - \cfrac{5}{2} ( x +1) \\\\\\ y+2=- \cfrac{5}{2}x-\cfrac{5}{2}\implies y=- \cfrac{5}{2}x- \cfrac{5}{2}-2\implies {\Large \begin{array}{llll} y=- \cfrac{5}{2}x- \cfrac{9}{2} \end{array}}`