Question

can you help me by step by step instructions

Answer 1

depends on how much you know :) but yes..whats the problem

Answer 2

3x+2y=6

Answer 3

ok..... and you want to be able to determine the "slope" of this equations graph?

Answer 4

just slope

Answer 5

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?

Answer 6

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)

Answer 7

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)

Answer 8

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

Answer 9

(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.

Answer 10

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

Answer 11

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

Answer 12

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

Answer 13

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

Answer 14

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

Answer 15

are you a teacher