Question

What is the point-slope equation of the line with slope -5 that contains the point (6,3)?

A. Y+3=-5(x-6)
B. Y-3=-5(x-6)
C. Y-3=-5(x+6)
D. Y+3=-5(x+6)

Answer 1

`\bf (\stackrel{x_1}{6}~,~\stackrel{y_1}{3})~\hspace{10em} slope = m\implies -5 \\\\\\ \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-3=-5(x-6)`