Question

Write an equation of the line in slope intercept form that pass through the two

given points (-2,15) (9,-18)

Answer 1

`\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{15})\qquad (\stackrel{x_2}{9}~,~\stackrel{y_2}{-18}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-18-15}{9-(-2)}\implies \cfrac{-33}{9+2}\implies \cfrac{-33}{11}\implies -3 \\\\\\ \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-15=-3[x-(-2)]\implies y-15=-3(x+2) \\\\\\ y-15=-3x-6\implies y=-3x+9`