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Hiamsam

  • 2 years ago

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

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  1. Hiamsam
    • 2 years ago
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  2. jazy
    • 2 years ago
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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

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

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

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

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

  7. jazy
    • 2 years ago
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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).

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

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

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

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

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

  13. Hiamsam
    • 2 years ago
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    Yes :)

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

  15. jazy
    • 2 years ago
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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)

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

  17. jazy
    • 2 years ago
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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.

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

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

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

  21. jazy
    • 2 years ago
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    Sure!

  22. Hiamsam
    • 2 years ago
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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

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

  24. jazy
    • 2 years ago
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    (:

  25. Hiamsam
    • 2 years ago
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    PASSED MY EXAM!

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