Question

What is a line that passes through the points (2, 1) and (6,9)?

Answer 1

`\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{9}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{9-1}{6-2}\implies \cfrac{8}{4}\implies 2 \\\\\\ \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-1=2(x-2) \\\\\\ y-1=2x-4\implies y=2x-3`

Answer 2

Use Demos either online or the app