Answered

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

Sagot :

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.

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