Question

Use point-slope form to write the equation of a line that passes through the point

(-3, 17) with slope 7/4

Answer 1

`(\stackrel{x_1}{-3}~,~\stackrel{y_1}{17})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{7}{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}{17}=\stackrel{m}{ \cfrac{7}{4}}(x-\stackrel{x_1}{(-3)}) \implies y -17= \cfrac{7}{4} (x +3)`