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help_people

  • one year ago

@mathstudent55

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  1. help_people
    • one year ago
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    Select the equations that are parallel and perpendicular to y = 2x - 1 and that pass through the point (4, 1). parallel: y = 2x - 7 perpendicular: y = negative one over twox + 3 parallel: y = 2x + 2 perpendicular: y = negative one over twox + four and one half parallel: y = negative one over twox - 7 perpendicular: y = 2x + 3 parallel: y = -2x - 7 perpendicular: y = negative one over twox - 1

  2. help_people
    • one year ago
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    i think it is a

  3. help_people
    • one year ago
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    @mathstudent55

  4. help_people
    • one year ago
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    @mathmate @mathmath333

  5. anonymous
    • one year ago
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    a is the first set of choices?

  6. mathmath333
    • one year ago
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    u should write the options properly to make them more understandable particularly the perpendicular lines

  7. help_people
    • one year ago
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    ok

  8. help_people
    • one year ago
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    hold on

  9. help_people
    • one year ago
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    a:\[y=2x-7\]

  10. help_people
    • one year ago
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    |dw:1433696367134:dw|

  11. help_people
    • one year ago
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    |dw:1433696418674:dw|

  12. mathstudent55
    • one year ago
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    @help_people Do you know the relationship of the slopes of two parallel lines? Do you know the relationship of the slopes of two perpendicular lines?

  13. help_people
    • one year ago
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    parallel lines have asme slope different y-intercepts

  14. mathstudent55
    • one year ago
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    Correct.

  15. help_people
    • one year ago
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    to ahnge to perpinduculat make the slope negative and the reciprocal?

  16. mathstudent55
    • one year ago
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    Correct.

  17. help_people
    • one year ago
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    reciprocal is like 4/1 changef to 1/4

  18. mathstudent55
    • one year ago
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    Yes.

  19. help_people
    • one year ago
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    i am sure you know that was just in case you were going to sake me :D

  20. help_people
    • one year ago
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    *ask

  21. help_people
    • one year ago
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    is a correct? i know that c and d are not correct

  22. help_people
    • one year ago
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    because of them for parallel they do not have the asme slope

  23. mathstudent55
    • one year ago
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    Let's work on the parallel line first. Given line: \(y = 2x - 1\) General equation of line in slope-intercept form: \(y = mx + b\) A parallel line has the same slope as the given line. We need a line with slope 2.

  24. mathstudent55
    • one year ago
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    The parallel line has to have an equation of the form \(y = 2x + b\) since we know its slope must be 2 just like the given line. We are given point (4, 1), so let's plug in (4, 1), and find b. \(1 = 2(4) + b\) What do you get for b?

  25. help_people
    • one year ago
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    1=6+b -6 -6?

  26. mathstudent55
    • one year ago
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    2 * 4 = 8, not 6.

  27. help_people
    • one year ago
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    -8 srry than b=-7?

  28. mathstudent55
    • one year ago
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    Then subtract 8 from both sides.

  29. mathstudent55
    • one year ago
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    Yes. Since we now have b = -7, the parallel line is: \(y = 2x - 7\)

  30. mathstudent55
    • one year ago
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    Now we can work out the perpendicular line in a similar way.

  31. mathstudent55
    • one year ago
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    Now for the perpendicular line. Given line: \(y=2x−1\) General equation of line in slope-intercept form: \(y=mx+b\) Perpendicular lines have slopes that are negative reciprocals of each other. The given line has slope 2. What is the negative reciprocal of 2?

  32. help_people
    • one year ago
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    -1/2?

  33. mathstudent55
    • one year ago
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    Correct. We now insert the new slope in the slope-intercept form. \(y = -\dfrac{1}{2}x + b\) Now we insert the know point on the line and solve for b.

  34. mathstudent55
    • one year ago
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    \(y = -\dfrac{1}{2}x + b\) \(1 = \left( -\dfrac{1}{2} \right) (4) + b\) What is b?

  35. help_people
    • one year ago
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    3

  36. mathstudent55
    • one year ago
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    Great. The equation of the perpendicular line is: \(y = -\dfrac{1}{2} x + 3\)

  37. mathstudent55
    • one year ago
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    Now choose the correct choice from the answers.

  38. help_people
    • one year ago
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    is still say a @mathstudent55

  39. mathstudent55
    • one year ago
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    Yes, A is the answer.

  40. help_people
    • one year ago
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    ty

  41. mathstudent55
    • one year ago
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    yw

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