Is y= 2/3x+1 and y=2/3x-1 parallel, perpendicular or neither

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