Question

Write a linear function for a line that passes through points (6,8) and (8,12)

Answer 1

$\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 6 &,& 8~) % (c,d) &&(~ 8 &,& 12~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{12-8}{8-6}\implies \cfrac{4}{2}\implies 2 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-8=2(x-6) \\\\\\ y-8=2x-12\implies y=2x-4$