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Hiamsam

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

  • one year ago
  • one year ago

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  1. Hiamsam
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    • one year ago
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  2. jazy
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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

    • one year ago
  3. jazy
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    So what is the slope of the parallel line?

    • one year ago
  4. Hiamsam
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    the slope is -3

    • one year ago
  5. Hiamsam
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    Is that right? @jazy

    • one year ago
  6. Hiamsam
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    Oh. okay. positive 1? Since I had to change it

    • one year ago
  7. jazy
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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).

    • one year ago
  8. jazy
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    Do you understand how the "opposite-reciprocal" thing works?

    • one year ago
  9. Hiamsam
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    Yes, I do know. Just was a little confused at the start

    • one year ago
  10. jazy
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    Ok (: So are you familiar with Point-Slope form?

    • one year ago
  11. Hiamsam
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    yes, fairly. Need a little help on that .

    • one year ago
  12. Hiamsam
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    so what's the next step?

    • one year ago
  13. Hiamsam
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    Yes :)

    • one year ago
  14. Hiamsam
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    Alrighty I don't see that for the answer though :/

    • one year ago
  15. jazy
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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)

    • one year ago
  16. Hiamsam
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    Weird. yeah it deleted

    • one year ago
  17. jazy
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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.

    • one year ago
  18. Hiamsam
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    I see the answer now :P

    • one year ago
  19. jazy
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    Yea, so you don't really have to go through finding the perpendicular line. (;

    • one year ago
  20. Hiamsam
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    True! Can you help me on one last thing?

    • one year ago
  21. jazy
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    Sure!

    • one year ago
  22. Hiamsam
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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

    • one year ago
  23. Hiamsam
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    nevermind I got it!

    • one year ago
  24. jazy
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    (:

    • one year ago
  25. Hiamsam
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    PASSED MY EXAM!

    • one year ago
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