Question

What is the equation for the ordered pairs (-2,3) and (-1,0)

Answer 1

$\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{0}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-3}{-1-(-2)}\implies \cfrac{-3}{-1+2}\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-3=-3[x-(-2)] \\\\\\ y-3=-3(x+2)\implies y-3=-3x-6\implies y=-3x-3$