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Hiamsam Group Title

Select the equations that are parallel and perpendicular to y = -3x - 1 and that pass through the point (3, 1).

  • 2 years ago
  • 2 years ago

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  1. Hiamsam Group Title
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    • 2 years ago
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  2. jazy Group Title
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    y = mx + b m is slope y = -3x - 1 -3 is slope Parallel lines have the same slope. Slope of Perpendicular lines is the opposite reciprocal...change to the opposite sign and find the reciprocal. ex: -2 to 1/2

    • 2 years ago
  3. jazy Group Title
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    So what is the slope of the parallel line?

    • 2 years ago
  4. Hiamsam Group Title
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    the slope is -3

    • 2 years ago
  5. Hiamsam Group Title
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    Is that right? @jazy

    • 2 years ago
  6. Hiamsam Group Title
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    Oh. okay. positive 1? Since I had to change it

    • 2 years ago
  7. jazy Group Title
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    The opposite reciprocal of -3 would be a positive 1/3. You switch signs(from - to +). 3 is the same as 3/1...and you find the reciprocal, which is 1/3. ------------------------------- Lets find the equation for the parallel line first. You have a slope of 3 and the given point is (3, 1).

    • 2 years ago
  8. jazy Group Title
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    Do you understand how the "opposite-reciprocal" thing works?

    • 2 years ago
  9. Hiamsam Group Title
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    Yes, I do know. Just was a little confused at the start

    • 2 years ago
  10. jazy Group Title
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    Ok (: So are you familiar with Point-Slope form?

    • 2 years ago
  11. Hiamsam Group Title
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    yes, fairly. Need a little help on that .

    • 2 years ago
  12. Hiamsam Group Title
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    so what's the next step?

    • 2 years ago
  13. Hiamsam Group Title
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    Yes :)

    • 2 years ago
  14. Hiamsam Group Title
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    Alrighty I don't see that for the answer though :/

    • 2 years ago
  15. jazy Group Title
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    Why'd it delete?! y - y1 = m(x - x1) m is slope x1 and y1 are the values of the point, (x, y) (3, 1) Slope is -3. y - 1 = -3(x - 3)

    • 2 years ago
  16. Hiamsam Group Title
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    Weird. yeah it deleted

    • 2 years ago
  17. jazy Group Title
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    Strange :/ Okay, so we have to change that^ into Slope-Intercept form. Distribute the -3. Solve for y. y - 1 = -3(x - 3) y - 1 = -3x + 9 Add 1 to both sides. y = -3x + 10 ^There is the equation for the parallel line.

    • 2 years ago
  18. Hiamsam Group Title
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    I see the answer now :P

    • 2 years ago
  19. jazy Group Title
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    Yea, so you don't really have to go through finding the perpendicular line. (;

    • 2 years ago
  20. Hiamsam Group Title
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    True! Can you help me on one last thing?

    • 2 years ago
  21. jazy Group Title
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    Sure!

    • 2 years ago
  22. Hiamsam Group Title
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    Vivian combined different amounts of white paint, blue paint, and green paint to make 145 milliliters (ml) of paint of a new shade. The amount of white paint was x ml. The amount of blue paint was 10 ml less than twice the amount of white paint, and the amount of green paint was half the amount of blue paint. This is represented in the equation below. x + (2x – 10) + 1/2 (2x – 10) = 145 What was the difference in the amounts of white paint and blue paint Vivian combined? 30 ml 35 ml 40 ml 45 ml

    • 2 years ago
  23. Hiamsam Group Title
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    nevermind I got it!

    • 2 years ago
  24. jazy Group Title
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    (:

    • 2 years ago
  25. Hiamsam Group Title
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    PASSED MY EXAM!

    • 2 years ago
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