Which 2 lines are parallel to each other?

1. Find the horizontal and vertical change for line AG

From point A to point G, the horizontal change is $10 - 1 = 9$ units and the vertical change is $6 - 0 = 6$ units.
The ratio of vertical to horizontal change is $\frac{6}{9} = \frac{2}{3}$.

2. Find the horizontal and vertical change for line BF

From point B to point F, the horizontal change is $10 - 5 = 5$ units and the vertical change is $4 - 0 = 4$ units.
The ratio is $\frac{4}{5}$.

3. Find the horizontal and vertical change for line CE

From point C to point E, the horizontal change is $10 - 7 = 3$ units and the vertical change is $2 - 0 = 2$ units.
The ratio is $\frac{2}{3}$.

4. Identify the parallel lines by comparing their ratios

Lines are parallel if their ratio of vertical to horizontal change is the same. Since AG and CE both have a ratio of $\frac{2}{3}$, they are parallel.