From fd4b2ca8769590395a6bdac841a7d61556baaf4e Mon Sep 17 00:00:00 2001
From: Alex <agebben@uwyo.edu>
Date: Fri, 12 Sep 2025 14:32:16 -0600
Subject: [PATCH] Working on slides

---
 Class8/Slides/Joins.tex | 20 +++++++++++++++++---
 1 file changed, 17 insertions(+), 3 deletions(-)

diff --git a/Class8/Slides/Joins.tex b/Class8/Slides/Joins.tex
index bdad5c2..d0d3e50 100644
--- a/Class8/Slides/Joins.tex
+++ b/Class8/Slides/Joins.tex
@@ -130,9 +130,6 @@ OR
 		\includegraphics[width=\textwidth]{right.png}
 \end{frame}
 
-
-
-
 % Slide 7
 \begin{frame}[plain]
 		\includegraphics[width=\textwidth]{match-types.png}
@@ -168,4 +165,21 @@ OR
 \end{itemize}
 \end{frame}
 
+\begin{frame}{Pivot}
+	\centering
+		\includegraphics[width=0.6\textwidth]{Pivot_Data.png}
+\end{frame}
+\begin{frame}{Pivot longer}
+	\centering
+		\includegraphics[width=\textwidth]{pivot_longer.png}
+\end{frame}
+\begin{frame}{Pivot longer}
+	\centering
+		\includegraphics[width=\textwidth]{column-names.png}
+\end{frame}
+\begin{frame}{Pivot longer}
+	\centering
+		\includegraphics[width=\textwidth]{cell-values.png}
+\end{frame}
+
 \end{document}