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anonymous

  • 5 years ago

can you help me by step by step instructions

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  1. amistre64
    • 5 years ago
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    depends on how much you know :) but yes..whats the problem

  2. anonymous
    • 5 years ago
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    3x+2y=6

  3. amistre64
    • 5 years ago
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    ok..... and you want to be able to determine the "slope" of this equations graph?

  4. anonymous
    • 5 years ago
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    just slope

  5. amistre64
    • 5 years ago
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    what is the definition of slope that you are using? we can do this the long way by finding 2 points and measureing how the distance moves up and down, by how far the distance moves left to right.... you want to do it that way?

  6. amistre64
    • 5 years ago
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    If so, then the easiest points to use will be when the line crosses either the x axis or the yaxis; at these points the value of one of the variables goes to zero. the y intercept = (0,y) 3x + 2y = 6 3(0) + 2y = 6 0 + 2y = 6 2y = 6 (2/2)y = 6/2 1y = 3 y = 3. one point is (0,3)

  7. amistre64
    • 5 years ago
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    the x intercept is when y = 0 or (x,0) 3x+2y=6 3x+2(0) = 6 3x = 6 (3/3)x = 6/3 1x = 2 x = 2 our other point is (2,0)

  8. amistre64
    • 5 years ago
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    with these two know points we can determine the slope between them as the distance between y's divided by the distance between the x's

  9. amistre64
    • 5 years ago
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    (0,3) (2,0) y1 - y2 = 3-0 = 3 ------------ --- x1 - x2 = 0-2 = -2 our slope = 3/-2...or more simply put: slope = -3/2.

  10. amistre64
    • 5 years ago
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    after you do about a hundred of these things you notice a pattern: Ax + By = C the slope is: -A/B 3x + 2y = 6 the slope is: -3/2

  11. anonymous
    • 5 years ago
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    in my study guide it says that the number next to the x is the slope which in this case is 3 or 3/1

  12. amistre64
    • 5 years ago
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    ok.... then you dont want the "definition" of the slope, you simply want the shortcut version of it, but the longer shortcut version than the shortest shortcut version :) 3x +2y = 6 subtract -3x from both sides 3x-3x +2y = 6-3x 0+2y = -3x+6 2y = -3x +6 now divide both sides by 2 (2/2)y = (-3/2)x + (6/2) 1y = (-3/2)x + 3 now that we have this in the "slope-intercept" form of the equation, we can look in front of the "x" to find out the slope... slope = -3/2

  13. amistre64
    • 5 years ago
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    And after doing about a hundred of these things you notice a pattern of........ well, the same thing I said last time :)

  14. amistre64
    • 5 years ago
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    like I said before.... it all depends on how much you "know" as to what a "step-by-step" process will entail.

  15. anonymous
    • 5 years ago
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    are you a teacher

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