Question

Find the equation of the line with Slope -7/2

form y=mx+b.
passing through the point (36,-35). Write your answer in the form y=mx+b. Write your answers as integers or as reduced fractions in the form A/B.

Answer 1

`(\stackrel{x_1}{36}~,~\stackrel{y_1}{-35})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{7}{12} \\\\\\ \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}{(-35)}=\stackrel{m}{- \cfrac{7}{12}}(x-\stackrel{x_1}{36}) \implies y +35 = - \cfrac{7}{12} ( x -36) \\\\\\ y+35=- \cfrac{7}{12}x+21\implies {\Large \begin{array}{llll} y=- \cfrac{7}{12}x-14 \end{array}}`