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BecomeMyFan=D

  • 3 years ago

Consider two straight lines L1 (y = 2x +1) and L2 (y=x). a) What is the slope of line L1 in respect to line L2? b) What is the equation of line L1 in respect to line L2?

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  1. lokisan
    • 3 years ago
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    Oh, you want the angle between the two lines.

  2. lokisan
    • 3 years ago
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    You need to use the formula to find the angle between two lines. \[\tan \alpha = \frac{m_2-m_1}{1+m_1m_2}\]

  3. lokisan
    • 3 years ago
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    m_2 is typically the greater slope, which is 2 in this case. m_1 is therefore 1.

  4. lokisan
    • 3 years ago
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    Since the slope of a line is defined as the tangent of that line with respect to the x-axis, the tangent of the angle between your two lines should give you the relative slope...which I assume is what the question wants.

  5. BecomeMyFan=D
    • 3 years ago
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    hmm... ok, I will try it again with this extra knowledge

  6. BecomeMyFan=D
    • 3 years ago
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    right, i think i get it

  7. lokisan
    • 3 years ago
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    I could be misinterpreting your question here - it's late where I am and I'm about to hit the hay.

  8. lokisan
    • 3 years ago
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    BecomeMyFan, did you get the second part? I forgot, sorry. I'm about to go to bed. Hopefully you can lure someone in to finish it...

  9. lizik
    • 3 years ago
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    full problem is Consider two straight lines L1 (y = 2x +1) and L2 (y=x). a) What is the slope of line L1 in respect to line L2? b) What is the equation of line L1 in respect to line L2? NOTE. Think that the original xy co-ordinate system has been rotated in respect to the origin so that line L2 defines the new x-axis x´ and y´ is the new y-axis!

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