Question

Write the point-slope form of the equation of the line through the given point with the given slope. through: (-1,4) slope = -9

Answer 1

$\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})~\hspace{10em} slope = m\implies -9 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-4=-9[x-(-1)]\implies y-4=-9(x+1)$