Greetings and Happy Holidays!
We can use the slope formula to find the slope, given the two points.
[tex]m= \frac{y_{2}- y_{1}}{x_{2}- x_{1}} [/tex]
Input the values:
[tex]m= \frac{-9-(-4)}{6-3} [/tex]
Simplify.
[tex]m= \frac{-5}{3}[/tex]
The Answer Is:
[tex] \left[\begin{array}{ccc}m= \frac{-5}{3} \end{array}\right] [/tex]
The slope is [tex]\frac{-5}{3}[/tex]
Hope this helped!
-Benjamin