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first find the slope, m=(y2-y1)/(x2-x1)

then write it in slope intercept form
y-y1=m(x-x1)

What if I make up two points and work the problem I made up? Will that help?

okey....

One of our points will be (x1, y1) and the other (x2, y2) It does not matter which is which.

Let (x1,y1) be (2, -1) and let (x2, y2) be (-4, -5)
Questions so far?

what is y=mx+b

ah okey

Focus on cranking out this slope right now.

okey

|dw:1329213587734:dw|

Do you follow how the slope came to be 2/3?

ah okey

yes

you simplify it

|dw:1329268007717:dw|

Yes.

Hey, I like "okey." I understand it means "yes."

Okey, now we use the point slope formula to get the equation of the line.

y - y1 = m (x - x1)
y - y1 = (2/3) ( x - x1)

okey
can i solve it?

(x1,y1) be (2, -1) from above.
y - (-1) = (2/3) ( x - 2)

oh, i change my mind
i don't want to answer it

We're almost finished. I'll finish if you have to go.

i'll have to go now eh...
can we finish it now??

y - (-1) = (2/3) ( x - 2)
y + 1 = 2/3 (x - 2)
multiply both sides by 3
3(y + 1) = (3) (2/3) (x-2)

3y +3 = 2 (x-2)
3y + 3 = 2x - 4

transpose it, right?

Yes, thought you left, :)
3y = 2x - 7

so the answer id -2x+3y=-4-3

the final answer is 2x-3y=7

y = (2/3) x - 7/3 in y = mx + b form where m is the slope and (-7/3) is the y-intercept.

Look at the cool graph:
http://www.wolframalpha.com/input/?i=line+%282%2C-1%29+and+%28-4%2C-5%29+

Just takes practice like anything else. :)

haha....thanks for your help.......what is the answer?

y = (2/3) x - 7/3

ah...........T.Y.P

Glad to help.