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anonymous

  • 5 years ago

im trying to find the slope of a line with equation 2x+3y=6

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  1. anonymous
    • 5 years ago
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    You need the form y = mx+b. So manipulate the equation to isolate Y.

  2. anonymous
    • 5 years ago
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    and m would then be my answer>

  3. anonymous
    • 5 years ago
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    Yes, you are looking for m.

  4. anonymous
    • 5 years ago
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    practically , - x's coefficient / y's coefficient so , -2/3

  5. anonymous
    • 5 years ago
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    So I would first subtract the 2x to the other side, leaving 3y = -2x +6.

  6. anonymous
    • 5 years ago
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    Then you divide by 3 since 3y/3 would just leave you with y.

  7. anonymous
    • 5 years ago
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    divide both sides by 3 that is.

  8. anonymous
    • 5 years ago
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    ok. so if someone asks write the equation of the line through(2 -3) and parallel to y= 4x -1 how would i do thta

  9. anonymous
    • 5 years ago
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    Ok you know that the point (2,-3) is going to be on the line of your answer. If two lines are parallel, that means they have the same slope.

  10. anonymous
    • 5 years ago
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    So you would substitute your points in, giving you -3 = 4*2 + b

  11. anonymous
    • 5 years ago
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    So you have -3 = 8+b. What value of b do you need to make -3 = 8?

  12. anonymous
    • 5 years ago
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    11

  13. anonymous
    • 5 years ago
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    Be careful. You need -11.

  14. anonymous
    • 5 years ago
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    So since -11 is your b value, you construct your equation. y = 4x - 11. You know that it's 4x because if two lines are parallel they have the same slope. We did those calculations to determine your b value.

  15. anonymous
    • 5 years ago
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    so it goes back to the original y- 4x-1?

  16. anonymous
    • 5 years ago
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    No. Your answer would be y = 4x -11. This line is parallel to y = 4x -1 because they share the same slope.

  17. anonymous
    • 5 years ago
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    the -3= 8 +b is used to find the parallel slope that i need

  18. anonymous
    • 5 years ago
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    No, the -3 = 8 +b is used to determine your b value (Your y-intercept)

  19. anonymous
    • 5 years ago
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    Two lines are parallel if they share the same slope. that's why you already know your slope for the problem because your answer has to have the same slope as your original line.

  20. anonymous
    • 5 years ago
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    can we do one more with different points?

  21. anonymous
    • 5 years ago
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    Sure. Do you have an example?

  22. anonymous
    • 5 years ago
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    (2 -5) parallel to y=2x+3

  23. anonymous
    • 5 years ago
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    Ok. Looking at y = 2x +3, What is the slope of our ansewr going to be?

  24. anonymous
    • 5 years ago
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    since they must be parallel

  25. anonymous
    • 5 years ago
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    should be 2?

  26. anonymous
    • 5 years ago
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    Correct. So for our answer equation right now we have y = 2x + b. Now we must find out b value, and since we are given a point (2,-5), we plug those points into our equation to find our b.

  27. anonymous
    • 5 years ago
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    ok so its -5= 2x+b

  28. anonymous
    • 5 years ago
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    You forgot to plug in your value for x.

  29. anonymous
    • 5 years ago
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    -5 = 2*2 +b

  30. anonymous
    • 5 years ago
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    ok. -5=4 +b

  31. anonymous
    • 5 years ago
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    Correct. Now what b value do we need to make that equation true?

  32. anonymous
    • 5 years ago
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    -9

  33. anonymous
    • 5 years ago
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    Correct. Now what's our answer?

  34. anonymous
    • 5 years ago
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    this is where i get confused... how do i find this answer

  35. anonymous
    • 5 years ago
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    Oh ok. Well the question asks for a line, so we know our answer will be an equation of a line. We need the general form of our answer (meaning leaving x and y as x and y in the answer). We calculated our b value and we know our m value since it has to be parallel to our starting line. y = mx + b. Fill out that equation with the information we calculated (m value and b value).

  36. anonymous
    • 5 years ago
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    well slopes the same and b is -9 so its y=2x-9?

  37. anonymous
    • 5 years ago
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    Absolutely correct

  38. anonymous
    • 5 years ago
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    so on this everything fallls back to y=mx+b?

  39. anonymous
    • 5 years ago
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    Now if you get an answer and your not sure about it, you can just plug in your given point into your answer and if you get the same thing on both sides the equation of your line works with your point.

  40. anonymous
    • 5 years ago
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    In this question yes it does. Since your looking for a line your answer will be in the form of y=mx+b

  41. anonymous
    • 5 years ago
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    and what if it asks for perpendicular? (1,-1) perpindicular to y=2x+4

  42. anonymous
    • 5 years ago
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    Ok a Perpendicular line will have a slope that is the negative reciprocal of the slope of another line. So in this example look at 2 as (2/1). A reciprocal is when you flip the denominator and the numerator, so my reciprocal of 2/1 would be 1/2. Put a negative sign on that and that's the slope of my perpendicular line.

  43. amistre64
    • 5 years ago
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    Pops is suited up eh..... that a missionary photo :)

  44. anonymous
    • 5 years ago
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    We will calculate our b value the same way as we did before.

  45. anonymous
    • 5 years ago
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    Yeah yeah I hear ya lol

  46. anonymous
    • 5 years ago
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    ok so -1=2(1) +4

  47. anonymous
    • 5 years ago
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    No you plug in your new slope to find the b value. Your new slope would be -1/2

  48. anonymous
    • 5 years ago
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    So we would have -1 = -(1/2)*1 + b

  49. anonymous
    • 5 years ago
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    so on these you automatically flip the slope

  50. anonymous
    • 5 years ago
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    On a perpendicular line yes. And you change the sign.

  51. anonymous
    • 5 years ago
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    ok so -1/2 *1 plus b

  52. anonymous
    • 5 years ago
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    Right.

  53. anonymous
    • 5 years ago
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    so then b would be 1/2?

  54. anonymous
    • 5 years ago
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    It would be -1/2. You have -1 = -(1/2)*1 + b. -1/2 times 1 is just -1/2. So we're left with -1 = -1/2 + b. b has to be -1/2

  55. anonymous
    • 5 years ago
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    two negatives make a positive. so then we plug this back in to y=-1/2x+-1/2?

  56. anonymous
    • 5 years ago
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    Two negatives make a positive in multiplication, not addition.

  57. anonymous
    • 5 years ago
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    But yes your equation is correct.

  58. anonymous
    • 5 years ago
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    And that's your answer.

  59. anonymous
    • 5 years ago
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    awesome man i think i got it im having to teach myself this stuff cause i missed days lol

  60. anonymous
    • 5 years ago
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    Yeah. If you have a graphing calculator you can understand it better if your a visual learner. I'm more of a hands on / visual type learner myself so it helped me years ago when I was learning this stuff

  61. anonymous
    • 5 years ago
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    yea. the only way i learn is to beat it into my head lol. well thanks man can i add you on this site somehow in case i get in a rut?

  62. anonymous
    • 5 years ago
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    well you can add me as fan. Idk if it will do anything but I try to get on here some.

  63. anonymous
    • 5 years ago
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    ok thanks man

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