Question

Find the equation of the line specified. the slope is 7, and it passes through ( 8, 6). a. y = 7x - 50 c. y = 7x 6 b. y = 14x - 50 d. y = 7x 62

Answer 1

`(\stackrel{x_1}{8}~,~\stackrel{y_1}{6})\hspace{10em} \stackrel{slope}{m} ~=~ 7 \\\\\\ \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}{6}=\stackrel{m}{ 7}(x-\stackrel{x_1}{8}) \\\\\\ y-6=7x-56\implies {\Large \begin{array}{llll} y=7x-50 \end{array}}`