Chapter 4 - Writing Linear Functions - 4.3 - Writing Equations of Parallel and Perpendicular Lines - Exercises - Page 191: 4

Lines $b$ and $c$ have the same slope, so they are parallel.

Slope of line $a$ $=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{0-5}{2-0}=\frac{-5}{2}$ Slope of line $b$ $=\frac{0-4}{5-3}=\frac{-4}{2}=-2$ Slope of line $c$ $=\frac{4-6}{5-4}=\frac{-2}{1}=-2$ Lines $b$ and $c$ have the same slope, so they are parallel.