Question

Determine the slope of the line passing through the points (-3, 9) and (4,-5).

Answer 1

`\begin{gathered} \text{the slope equation is given by} \\ m=(y_2-y_1)/(x_2-x_1) \\ \text{where one point is given by } \\ (x_1,y_1)\text{ and the other one is} \\ (x_2,y_2) \\ In\text{ this case, one can take} \\ (x_1,y_1)=(-3,9)\text{ and} \\ (x_2,y_2)=(4,-5) \\ By\text{ substituying these values on the slope equation:} \\ m=(-5-9)/(4-(-3)) \\ m=(-14)/(4+3) \\ m=(-14)/(7) \\ m=-2 \end{gathered}`