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tc1979

  • 4 years ago

How can you determine if two lines are perpendicular?

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  1. chaise
    • 4 years ago
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    There gradients will multiply to give negative one (-1). :)

  2. chaise
    • 4 years ago
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    Their*?

  3. bnut056
    • 4 years ago
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    if lines are perpendicular their dot product will be 0 zero

  4. tc1979
    • 4 years ago
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    can you elaborate?

  5. chaise
    • 4 years ago
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    For example. If you have a line given by y = 10x+3 and also y=-1/10x+5 Where the gradient is marked by the number before the x. The two numbers multiply to give negative one. Make sense?

  6. 5369855
    • 4 years ago
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    Their ratio will be the same. Ex: 10x + 5 and 20x+10. to get from 10x+5 to 20x+10, you multiply the first one by 2

  7. Stroodle
    • 4 years ago
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    If the product of the two gradients is -1 they are perpendicular.

  8. 5369855
    • 4 years ago
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    *you must solve for the dot product. if you want it to be parallel, ratio must be the same

  9. polpak
    • 4 years ago
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    You all need to remember your algebra 2. At this stage it's just a matter of comparing slopes. If the two slopes are perpendicular they will multiply to make -1. Or you can find one given the other by the fact that they will be negative reciprocals of each other. If you are given a slope of 10 as in the example above, a perpendicular slope will be -1/10. And for any slope r, a perpendicular slope will be -1/r.

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