How you set it up
Use the slope-format to graph equation y=2x+1
y = 2x + 1
try plugging "0" into x to get a y value:
y = 2(0) + 1
y = 0 + 1 = 1
so now you have a point (x,y) which is (0,1). now graph this point.
we know that the slope of this line is 2 from the given equation in slope intercept form (y = mx + b)
we know that m = Δy/Δx: meaning the change in y over change in x.
since m = 2, we can have Δy = 2, and Δx = 1, or 2/1.
so from the point (0,1), move your pencil 1 unit to the right and 2 units up. this will be the second point (1,3).
now, all you have to do is use a ruler to create a line going through both points.