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anonymous

  • one year ago

FAN AND MEDAL

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  1. anonymous
    • one year ago
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    Write the equation of the line that is parallel to the line y = −3x + 12 and passes through the point (−1, 6). Choose one answer. a. y = one thirdx + 7 b. y = −3x + 3 c. y = one thirdx + 3 d. y = −3x + 7

  2. Sachintha
    • one year ago
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    The gradient is equal to -3 since they are parallel.

  3. Sachintha
    • one year ago
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    You are given a coordinate of a point where the line passes. So any idea?

  4. anonymous
    • one year ago
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    Hmm What would my first step be?

  5. anonymous
    • one year ago
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    Pretty confused with this

  6. Sachintha
    • one year ago
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    |dw:1434038614067:dw|

  7. Sachintha
    • one year ago
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    m - gradient c - intercept

  8. Rhystic
    • one year ago
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    ok youre first step would be to look at the slope/gradient. the standard formula for a straight line is y = mx +b where m is the slope/gradient. For a straight line to be parallel to another the two lines must have the same slope. In this case you are looking for a slope of -3 or something in the form of y = -3x +b. That means two of the answers are completely wrong. the next step is to take the point given (-1,6) (x,y) and plug them in to corresponding x and y values in the equation the remaining answers and see if they work meaning if you plug in -1 for x into the equation do you come out with 6 for the y value.

  9. anonymous
    • one year ago
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    ok so it would be b or d?

  10. Sachintha
    • one year ago
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    @Rhystic Nicely explained. :)

  11. Sachintha
    • one year ago
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    @kyle55 Plug a value and check whether you get 6 for y.

  12. anonymous
    • one year ago
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    whts the equation?

  13. anonymous
    • one year ago
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    y= -3x + 3?

  14. Sachintha
    • one year ago
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    Try both of them (b and d). Plug -1 for x and see whether you get 6 for y. If it does it's the equation. :)

  15. Sachintha
    • one year ago
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    Correct!

  16. anonymous
    • one year ago
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    6= -3(-1) + 3 ?

  17. Sachintha
    • one year ago
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    yeah

  18. anonymous
    • one year ago
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    6=4 + 3 so that is not the answer?

  19. Sachintha
    • one year ago
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    That's the equation of the line parallel to y=-3x+12

  20. Sachintha
    • one year ago
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    -3 * -1 = +3

  21. anonymous
    • one year ago
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    Not sure i understand quite yet

  22. Sachintha
    • one year ago
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    Am I wrong @Aureyliant ? :)

  23. anonymous
    • one year ago
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    Everything looks correct… Although not sure because I didn't check the overall problem's answer.

  24. Sachintha
    • one year ago
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    @Aureyliant Can you explain it to kyle?

  25. Sachintha
    • one year ago
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    Kyle what part didn't you understand?

  26. anonymous
    • one year ago
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    I got lost somewhere in the middle. Can you start from the beggining and work it out for me?

  27. Sachintha
    • one year ago
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    y = mx+c is the general form of a straight line equation where m is the gradient of the line and c is the intercept.

  28. Sachintha
    • one year ago
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    |dw:1434039972898:dw|

  29. Sachintha
    • one year ago
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    You are given the coordinates of a point where the new line should pass.

  30. anonymous
    • one year ago
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    alright

  31. anonymous
    • one year ago
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    then we plug the options in?

  32. Sachintha
    • one year ago
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    Since the gradient is equal to -3 there are two answers (b and d). The line should also go through the point (-1,6). So if we plug x=-1 for one of the two equations, the one that gets y=6 is the answer.

  33. anonymous
    • one year ago
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    so b. y = −3x + 3

  34. anonymous
    • one year ago
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    i plug -1 into x and 6 into y ?

  35. Sachintha
    • one year ago
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    You don't plug in a value for y. You need to only substitute -1 for x. If you get y=6 for the answer, then that's equation of the line satisfying the above conditions.

  36. anonymous
    • one year ago
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    thats what i was confused wit i thinkh

  37. anonymous
    • one year ago
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    so b is the answer

  38. Rhystic
    • one year ago
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    no you just use the x value and see what number comes out for y if that number matches the y coordinate that you are given then it is correct. for example in this case the correct answer is b. you are given y = -3x +3 and coordinate (-1,6) you use the x value (-1) in the equation: y= -3*-1+3 and see if you get 6 if you do then that equation has a line passing through the coordinate you need.

  39. anonymous
    • one year ago
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    thank you for the help

  40. Sachintha
    • one year ago
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    Did you understand it?

  41. anonymous
    • one year ago
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    Yes, i was confused about where to plug everything in. Should i ask another question to make sure i got it?

  42. Sachintha
    • one year ago
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    Ok go ahead. :)

  43. anonymous
    • one year ago
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    Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3). Choose one answer. a. y = 2x + 6 b. y = −one halfx + 3 c. y = −one halfx + 6 d. y = 2x + 3

  44. anonymous
    • one year ago
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    Try doing it in another thread so others have the chance to gain medals.

  45. anonymous
    • one year ago
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    oh i will sorry

  46. anonymous
    • one year ago
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    No problem! :)

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