Chapter 2 Linear Equations and Functions - 2.2 Find Slope and Rate of Change - 2.2 Exercises - Skill Practice - Page 86: 23

parallel

By using the slope formula, the slopes of the lines are: $m_1=\frac{y_2-y_1}{x_2-x_1}=\frac{-4-(-2)}{1-4}=\frac{-2}{-3}=\frac{2}{3}.$ $m_2=\frac{y_2-y_1}{x_2-x_1}=\frac{1-5}{8-14}=\frac{-4}{-6}=\frac{2}{3}.$ Since $m_1\ne m_2$, they are parallel.