Question

Would lines Y=3x-11 and y=-3x-11 be perpendicular parallel or neither? I just need a brief explanation with the answer

Answer 1

You need to remember that:

1. The Slope-Intercept Form of the equation of a line is:

`y=mx+b`

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:

`y=3x-11`

You can identify that:

`\begin{gathered} m_1=3 \\ b_1=-11 \end{gathered}`

Given the second line:

`y=-3x-11`

You can notice that:

`\begin{gathered} m_2=-3 \\ b_2=-11 \end{gathered}`

Therefore, you can determine that:

- They are not parallel.

- They are not perpendicular.

The answer is: Neither.