Question

Which equation represents a line that passes through (–9, –3) and has a slope of –6?

Answer 1

$\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ -9}}\quad ,&{{ -3}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies -6 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-3)=-6[x-(-9)] \\\\\\ y+3=-6(x+9)\implies y+3=-6x-54\implies y=-6x-57$