1. Identify the slope of the first equation:
y = \frac{2}{3}x + 1
The slope, m_1 , is:
m_1 = \frac{2}{3}
2. Identify the slope of the second equation:
y = \frac{2}{3}x - 1
The slope, m_2 , is:
m_2 = \frac{2}{3}
3. Compare the slopes:
Since m_1 = m_2 , the lines have the same slope and are therefore parallel.
Answer: The lines are Parallel