Answer :
You need to remember that:
1. The Slope-Intercept Form of the equation of a line is:
[tex]y=mx+b[/tex]Where "m" is the slope and "b" is the y-intercept.
2. The slopes of parallel lines are equal.
3. The slopes of perpendicular lines are opposite reciprocals.
Given the first line:
[tex]y=3x-11[/tex]You can identify that:
[tex]\begin{gathered} m_1=3 \\ b_1=-11 \end{gathered}[/tex]Given the second line:
[tex]y=-3x-11[/tex]You can notice that:
[tex]\begin{gathered} m_2=-3 \\ b_2=-11 \end{gathered}[/tex]Therefore, you can determine that:
- They are not parallel.
- They are not perpendicular.
The answer is: Neither.