Hi Kilihea,
The slopeintercept form of a line is
y = mx + b
If you write an equation in this form then m is the slope and b is the yintercept. This is an extremely useful form if you are to sketch the graph since b tells you a point on the curve (0, b) and m. I am going to illustrate with a different line,
6x  2y = 4.
The point intercept form is y = mx + b so I want y alone on the left of the equality so add 6x to both sides to obtain
6x  2y  6x = 4  6x
2y = 4  6x
In the point slope form however the coefficient of y is 1 not 2, so divide both sides of the equation by 2.
^{2y}/_{2} = ^{(4  6x)}/_{2}
y = ^{4}/_{2}  ^{6x}/_{2}
y = 2 + 3x
y = 3x  2
Penny
