Question

Write the in slope intercept form. It has coefficient m=-4/7 and passes through the point (14,3)

Answer 1

`(\stackrel{x_1}{14}~,~\stackrel{y_1}{3})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{4}{7} \\\\\\ \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}{3}=\stackrel{m}{- \cfrac{4}{7}}(x-\stackrel{x_1}{14}) \\\\\\ y-3=- \cfrac{4}{7}x+2\implies {\Large \begin{array}{llll} y=- \cfrac{4}{7}x+5 \end{array}}`

Answer 2

y=-4/7x+11

Explanation: