Answer :
The slope (or average rate of change) formula is: [tex]m= \frac{ y_{2}- y_{1} }{ x_{2}- x_{1} } [/tex]. It is easy to remember as "slope is easy and fun, rise over run" where the y-values of the 2 points would be the "rise" and the x-values of the 2 points would be the "run" So with two points, you label one point as [tex]( x_{1}, y_{1}) [/tex] and the other as [tex]( x_{2}, y_{2})[/tex]. Then you insert these points into the slope formula (m represents slope). So, [tex]m= \frac{6-1}{-3-5} [/tex] where (-3,6) is x2 and y2 and (5,1) is x1 and y1. It would simplify to [tex]m= \frac{5}{-8} [/tex].