Alegebra Problem:
Find the slope of the line 6x - 2y = 3
First: solve for x
	6x -2y = 3			<-- Original Alegbra Equation:
	-6x                   -6x			<-- you subtract 6x from both sides
	6x -6x - 2y = 3 -6x			<-- this is what -6x looks like on both sides
	0    -2y  = 3 - 6x			<-- reduce the left hand side of the equations
	-2y  = 3 -6x			<-- remove the 0 from the left hand side
	-2y / -2  = (3 - 6x)/ -2			<-- divide both sides by -2
	y = -3/2 - 6x/-2			<-- reduce the left and righ sides
	y = -1.5 + 3x
	y = 3x - 1.5			<-- Equation solved for y = Slope of the Line
lets plot x & y	x	y
	-2.00	-7.50
	-1.75	-6.75
	-1.50	-6.00
	-1.25	-5.25
	-1.00	-4.50
	-0.75	-3.75
	-0.50	-3.00
	-0.25	-2.25
	0.00	-1.50
	0.25	-0.75
	0.50	0.00
	0.75	0.75
	1.00	1.50
	1.25	2.25
	1.50	3.00
	1.75	3.75
	2.00	4.50
Now we have some numbers to work with
Block them from 16B to 27C
Click File, Insert, Charg
Steps for solving x & y
	6x -2y      = 3			<-- Original Alegbra Equation:
	+2y = +2y			<-- you add 2y to both sides
6x - 2y + -2y = 3 + 2y				<-- this is what you get when you'r playing around the gas grill  add +2y to both sides.
	6x   -    0      = 3 + 2Y			<-- reduce the left hand side of the equations
	6x                = 3  - 2y			<-- remove the 0 from the left hand side
	6x / 6             = 3 - 2y / 6			<-- divide both sides by 6
	x = 3/6 - 2y/6			<-- reduce the left and righ sides
	x =  1/2  -1/3y			<-- reduce further
	x = .5 - 1/3y			<-- Equation solved for y = Slope of the Line
lets plot x & y
	x	y
	1.5	-3
	1.16667	-2.00
	1.08333	-1.75
	1	-1.50
	0.91667	-1.25
	0.83333	-1.00
	0.75	-0.75
	0.66667	-0.50
	0.58333	-0.25
	0.5	0.00
	0.41667	0.25
	0.33333	0.50
	0.25	0.75
	0.16667	1.00
	0.08333	1.25
	0	1.50
	-0.0833	1.75
	-0.1667	2.00
You can also do this on a spreadsheet

A Nice Visual  http://www.mathwarehouse.com/algebra/linear_equation/slope-of-a-line.php  

also check out http://www.Microsoft.com search " Math slope of a line"

Welcome to beginning Algebra - it is one of my favorite math classes. 

I use algebra every day - I can't imagine life without it.  However slopes are hard to envision sometimes. 

You use them in building roofs, on and off ramps from highways and for garden terraces, are a few of the many applications.

Usually it starts out with an equation like 5x + 3y = 7

Then you solve for x:  5x = 7 - 3y,

then x = (7-3y)/5

Then you start to enter numbers in for y:

When y = 0 then x =  7/5 =  1 2/5 = 1.4

When y = 1 then x =  4/5 =  .8

When y = 2 then x =  1/5 =  .2

When y = 3 then x = -2/5 = -.4

As you plot these out - you see a line form. If you wanted to know what the slope of that line was... say you were building a wheelchair ramp and you wanted it to be up to code - you need to check the slope of the ramp.

Slope = Change in Y / Change in X

for our example the change in y = 0 - 3 = -3

for our example the change in x = 1 2/5 - (- 2/5) = 1 4/5

Slope = -3/1 4/5 = -3/1.8 = -1.6666 or -1 2/3

Keep asking questions - it will come back to you!!

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