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anonymous

  • one year ago

REALLY NEED HELP!!! :) Line AB passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to line AB ?

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  1. anonymous
    • one year ago
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    5x – 3y = 0 -x + 3y = 0 -5x – 3y = 0 3x + 5y = 0 -3x + 5y = 0

  2. anonymous
    • one year ago
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    I really have no clue how to do this :((((

  3. misty1212
    • one year ago
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    HI!!

  4. misty1212
    • one year ago
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    they are asking you for the slope of the line or at least you need that first

  5. anonymous
    • one year ago
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    Can you walk me through i'm completely lost

  6. misty1212
    • one year ago
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    you know the slope of the line between (-3, 0) and (-6, 5) ?

  7. misty1212
    • one year ago
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    if you do not, i can show you how to find it

  8. anonymous
    • one year ago
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    yes please help me find it

  9. misty1212
    • one year ago
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    first we think, then we do it the math teacher way

  10. misty1212
    • one year ago
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    from -6 to -3 is right 3 units from 5 to 0 is down 5 units right 3, down 5, slope is \(-\frac{5}{3}\)

  11. misty1212
    • one year ago
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    now the math teacher way \[\frac{y_2-y_1}{x_2-x_1}=\frac{5-0}{-6-(-3)}=\frac{5}{-3}=-\frac{5}{3}\]

  12. anonymous
    • one year ago
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    Okay so how is finding the slope going to give me the answer?

  13. misty1212
    • one year ago
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    then since it goes through the origin \((0,0)\) the point slope formula gives \[y=-\frac{5}{3}x\]

  14. misty1212
    • one year ago
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    multiply by 3 to get \[3y=-5x\]

  15. misty1212
    • one year ago
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    add \(5x\) to both sides to put it in standard form get \[5x+3y=0\]

  16. anonymous
    • one year ago
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    oooooh okay :) Thank you!!!!

  17. misty1212
    • one year ago
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    i see that is not an answer choice though

  18. misty1212
    • one year ago
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    we can fix that multiply all by -1 get \[-5x-3y=0\]

  19. anonymous
    • one year ago
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    oh wait its not :/

  20. anonymous
    • one year ago
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    ohh alright thank you again much appreciated!

  21. misty1212
    • one year ago
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    \[\color\magenta\heartsuit\]

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