Question

Plane are at A(2,11) and B(7,1)Find the equation that contains the given segment BC

Answer 1

`\bf A(\stackrel{x_1}{2}~,~\stackrel{y_1}{11})\qquad B(\stackrel{x_2}{7}~,~\stackrel{y_2}{1})\\\\\\ slope = m\implies\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-11}{7-2}\implies \cfrac{-10}{5}\implies -2\\\\\\ \begin{array}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-11=-2(x-2)\\\\\\y-11=-2x+4\implies y=-2x+15`