Question

Standard form of an equation that passes through (6,0) and (2,-7)

Answer 1

$\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 6}}\quad ,&{{ 0}})\quad % (c,d) &({{ 2}}\quad ,&{{ -7}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-7-0}{2-6}$

$\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad \begin{array}{llll} \textit{plug in the values for } \begin{cases} y_1=0\\ x_1=6\\ m=\boxed{?} \end{cases}\\ \textit{and move the variables to the}\\ \textit{left-side, leave the constant}\\ \textit{on the right-side} \end{array}\\ \left. \qquad \right. \uparrow\\ \textit{point-slope form}$