Step-by-step explanation
We are to find the slope of the line that passes through the points (1,−7) and (1,13)
To do so, we will use the formula
![slope=(y_2-y_1)/(x_2-x_1)^](https://img.qammunity.org/2023/formulas/mathematics/college/jr6wpxs01g9lqrwjbzajio3mdfn5cwzfbc.png)
where
![\begin{gathered} x_1=1 \\ y_1=-7 \\ x_2=1 \\ y_2=13 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/cdmh43v7vzemfpopehttl1bibhc9a5clxt.png)
Therefore, the slope will be
![\begin{gathered} slope=(13-(-7))/(1-1)=(13+7)/(0)=(20)/(0) \\ \\ slope=(20)/(0) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/wux8yxmzr2nih7dh42r6shcbnba6h72cyd.png)
Since the denominator is 0, the slope is undefined
The answer is undefined