Question

What is the point-slope form of a line with slope 2 that contains the point (1, 3)?

Answer 1

$\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ 1}}\quad ,&{{ 3}})\quad \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies 2 \\\\\\ % point-slope intercept y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-3=2(x-1)\\ \left. \qquad \right. \uparrow\\ \textit{point-slope form}$