Answer
Slope = $\frac{-1}{7}$
Work Step by Step
To find the slope between two points, we use the slope formula. The slope formula is the change in the y values over the change in the x values.
Slope = $\frac{y_{final} - y_{initial}}{x_{final} - x_{initial}}$
The final and initial points do not matter. In this example, the initial point will be ($\frac{11}{2}$,$\frac{-4}{3}$) and the final point will be ($\frac{-3}{2}$,$\frac{-1}{3}$). However, either point can be considered the final point and either point can be considered to be the initial point without changing the slope.
Using the slope formula:
Slope = $\frac{\frac{-1}{3} - \frac{-4}{3}}{\frac{-3}{2} - \frac{11}{2}}$ = $\frac{1}{-7}$ = $\frac{-1}{7}$