Can you explain slope (y=mx+b) i am having difficulty grasping the concept?

Answer 1

y = m x + b will graph as a straight line. Try graphing it to see what m and b mean.
First make a mark at x = 0 and y = b. That is point (0,b) and is called the y axis intercept. That is what the b means.
Now from that point go right one unit in x and up m units in y.
That is another point on the line (1, b+m)
That is what slope, m , means. When you go right one, you go up m.
Two points determine the line, so take a ruler and draw that line through the two points. That is your graph of the equation y = m x + b.

Of course You can see right away that (0,b) lies on the line because when x = 0
y = 0 + b
but that second point has to be shown.
(1, b+m)
put it in the equation
y = m x + b
b + m = m (1) + b ? sure enough