Question

What’s the slope intercept from of the equation of the line which passes through (3,4) and has a slope 1/3

Answer 1

`\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{4})~\hspace{10em} slope = m\implies \cfrac{1}{3} \\\\\\ \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-4=\cfrac{1}{3}(x-3) \\\\\\ y-4=\cfrac{1}{3}x-1\implies y=\cfrac{1}{3}x+3`