## Intermediate Algebra (12th Edition)

$m=\dfrac{2}{3}$
Using the properties of equality, the given equation, $3y=2x+5$ is equivalent to \begin{array}{l}\require{cancel} y=\dfrac{2}{3}x+\dfrac{5}{3} .\end{array} Using $y=mx+b$ where $m$ is the slope, then the slope, $m$, of the equation above is \begin{array}{l}\require{cancel} m=\dfrac{2}{3} .\end{array} Since parallel lines have the same slope, then a line parallel to the equation above will also have $m=\dfrac{2}{3} .$