This document discusses families of linear graphs and their characteristics. There are two basic families: graphs that have the same slope, and graphs that have the same x or y-intercept. Graphs belong to the same family if they have a common slope or intercept when their equations are plotted or written in point-slope form. The simplest graph in a family is called the parent graph, such as y=x being the parent of graphs like y=3x and y=1/4x that have the same slope. The document provides examples and problems for students to work through related to identifying families of graphs and analyzing parent graphs.