Answer
Slope = Undefined
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 (-6,-1) and the final point will be (-6,4). 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 = $\frac{4 - (-1)}{-6 - (-6)}$ = $\frac{5}{0}$ = Undefined
Note: You cannot divide by 0, so the slope should be undefined which on a graph is a vertical line.
