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anonymous

  • 5 years ago

someone help me,im so lost on this problem..write an equation of the line containing the given point and parellel to the given line.......(5,-7);2x-9y=4

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  1. amistre64
    • 5 years ago
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    parallel lines have the property that when you multiply there slope together they make (-1).

  2. anonymous
    • 5 years ago
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    ... Pretty sure parallel lines have the same slope.

  3. amistre64
    • 5 years ago
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    get your equation into slope-intercept format: y=mx+b y= (2/9)x - (4/9)

  4. anonymous
    • 5 years ago
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    perpendicular lines have this property, i think you may be mistaken there amistre64

  5. amistre64
    • 5 years ago
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    you might be right.... lol

  6. amistre64
    • 5 years ago
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    read it right, thought it wrong :) sorry

  7. anonymous
    • 5 years ago
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    -5y=-7+2?

  8. amistre64
    • 5 years ago
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    then we can use: y = (2/9)x + b to figure out the line parallel with (5,-7) .... i think...

  9. anonymous
    • 5 years ago
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    yes, substitute into the equation to solve for b

  10. amistre64
    • 5 years ago
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    5 = (2/9)(-7) + b 5 = -14/9 +b 45/9 + 14/9 = b 59/9 = b .... did i mess it up yet?

  11. amistre64
    • 5 years ago
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    the parallel line might be... y = (2/9)x + (59/9) with a little luck :)

  12. anonymous
    • 5 years ago
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    (y-0) = 2/9(x-2/9) is point slope format. This is the line with slope 2/9 which intersects the point (2/9, 0). You want the line with the same slope that intersects(5,-7) So your line would be (y+7) = 2/9(x-5)

  13. amistre64
    • 5 years ago
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    -2x + 9y = 59 or 2x - 9y = -59 ??

  14. anonymous
    • 5 years ago
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    err (y-0)=2/9(x-2) is the original line (intersects at (2,0) not (2/9,0)) sorry

  15. anonymous
    • 5 years ago
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    recall that coordinates are written (x,y) in the two dimensional plane so the x coordinate is 5, the y coordinate is -7

  16. anonymous
    • 5 years ago
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    given y=(2/9)x + b you then simply substitute into this equation using x=5; y=-7, subtract -10/9 from each side to obtain b and then write the equation in full to get the final answer: y=(2/9)x-(73/9)

  17. anonymous
    • 5 years ago
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    multiplying through by 9 we have 9y + 63 = 2x - 10 -> 9y = 2x - 73 or 2x - 9y = 73

  18. anonymous
    • 5 years ago
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    I still prefer point slope form for this sort of thing than slope intercept.

  19. amistre64
    • 5 years ago
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    ...howd I get 59? and not 73?

  20. anonymous
    • 5 years ago
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    I feel that it overcomplicates the issue to what was a very simple substitution, changing from y=mc+c to (y-y0)=m(x-x0)

  21. anonymous
    • 5 years ago
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    substituting the wrong values for x and y primarily

  22. amistre64
    • 5 years ago
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    got it..... lol. I must of took the stupid pills this morning instead of the B12s :)

  23. anonymous
    • 5 years ago
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    Once you get the slope (either by slope intercept or point slope) constructing the new line using point slope is far easier than using slope intercept, since you have the point and the slope, and you don't have to take the additional step of solving for the intercept.

  24. anonymous
    • 5 years ago
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    simple error, making a big problem, an example of the Butterfly effect in action ;)

  25. anonymous
    • 5 years ago
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    yes but in the slope intercept method generalises more naturally to higher dimensions and you start with the equation with only one unknown which intuitively feels more achievable, especially when working with the complex plane and lots of algebra it is also asthetically [certiain that is spelt incorrectly :)] more pleasing

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