How does #y=mx+b# work?
1 Answer
See below
Explanation:
So how do we use it?
The first part of the equation I want to look at is the
 for any value of
#x# I choose to put into the equation, I will get a resulting#y# . For instance, let's say#x=0# and it works out that#y=2#  I'd have a point I could plot on graph. If I do that one more time, say like#x=1, y=3# , and I can connect the two dots and extend that to form a line that heads off to infinity in both directions.
So now let's talk about the

#b# is the yintercept. Let's say for instance that#b=2# . This means that the line intersects the yaxis at#y=2# , meaning we have a known point on the line of#(0,2)# . 
#m# is the slope. One way to think of it is the fraction#"rise"/"run"# . Let's say#m=1#  what that says is that for every step up (the rise) we move to the right 1 (the run).
Now let's put it all together. Let's take
We can also look at any value of