Question

Find the equation of the line that has a slope of 2
and passes through the point (1, 7).

Answer 1

`(\stackrel{x_1}{1}~,~\stackrel{y_1}{7})\qquad \qquad \stackrel{slope}{m}\implies 2 \\\\\\ \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-\stackrel{y_1}{7}=\stackrel{m}{2}(x-\stackrel{x_1}{1}) \\\\\\ y-7=2x-2\implies y=2x+5`