Question

A linear function, f, passes through the points (-3,4) and (2,7).

Answer 1

$\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -3 &,& 4~) % (c,d) &&(~ 2 &,& 7~) \end{array} \\\\\\ % slope = m \stackrel{average~rate~of~change}{slope= m} \implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{7-4}{2-(-3)}\implies \cfrac{7-4}{2+3}\implies \cfrac{3}{5}$