ANSWER
The slope is undefined
EXPLANATION
Given information
The given points on the graph are (-2, -5) and (-2, 5)
Part B
The slope formula is given below as
[tex]\begin{gathered} \text{ Slope = }\frac{rise}{run} \\ rise\text{ = y2 - y1} \\ run\text{ = x2 - x1} \\ \text{ slope = }\frac{y2\text{ - y1}}{x2\text{ - x1}} \end{gathered}[/tex]
From the given point; let x1 = -2, y1 = -5, x2 = -2, and y2 = 5
substitute the given data into the formula
[tex]\begin{gathered} \text{ Slope = }\frac{5\text{ - \lparen-5\rparen}}{-2\text{ - \lparen-2\rparen}} \\ Slope\text{ = }\frac{5\text{ + 5}}{-2\text{ + 2}} \\ \text{ Slope = }\frac{10}{0} \\ \text{ Slope = Undefined} \end{gathered}[/tex]
Hence, the slope is undefined
