Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.2 Linear Functions and Their Graphs - Exercise Set 7.2 - Page 432: 80

True.

\[3x+2y=5\] This implies: \[\begin{align} & 2y=-3x+5 \\ & y=\frac{-3}{2}x+\frac{5}{2} \end{align}\] Compare it with\[y=mx+c\]: \[m=\frac{-3}{2}\] So, the given line has a slope\[\frac{-3}{2}\]. Hence, the given statement is true.