Question

1. A line with a slope of 3 passes through the point (4,3). What is the equation of this line?

Answer 1

`\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{3})~\hspace{10em} slope = m\implies 3 \\\\\\ \begin{array} \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-4) \\\\\\ y-3=3x-12\implies y=3x-9`