Question 1

Line m passes through c(-2,0) and d(1,-3). Write the equation of the line m in standard form

Question 2

$\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) c&({{ -2}}\quad ,&{{ 0}})\quad % (c,d) d&({{ 1}}\quad ,&{{ -3}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-3-0}{1-(-2)}\implies \cfrac{-3-0}{1+2}$

$\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad \begin{array}{llll} \textit{plug in the values for } \begin{cases} y_1=0\\ x_1=-2\\ m=\boxed{?} \end{cases}\\ \textit{and move everything to the left}\\ \textit{leave the constant on the right} \end{array}\\ \left. \qquad \right. \uparrow\\ \textit{point-slope form}$

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