Question

(-8,7),(-9,-5) write in Ax+By=C

Answer 1

$\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ &&(~ -8 &,& 7~) &&(~ -9 &,& -5~) \end{array} \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-5-7}{-9-(-8)}\implies \cfrac{-5-7}{-9+8}\implies 12 \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-7=12[x-(-8)]\implies y-7=12(x+8) \\\\\\ y-7=12x+96\implies -12x+y=103$