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depends on how much you know :) but yes..whats the problem
ok..... and you want to be able to determine the "slope" of this equations graph?
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?
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)
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)
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
(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.
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
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
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
And after doing about a hundred of these things you notice a pattern of........ well, the same thing I said last time :)
like I said before.... it all depends on how much you "know" as to what a "step-by-step" process will entail.
are you a teacher