Slope-intercept form is y=mx+b, in which m is the slope and b is the y-intercept.
Therefore we will first try to find the y-intercept (it's the easiest :) ).
The graph intersects the y-axis at 1.
Therefore b=1.
Next, let's find slope, or rise over run. From our y-intercept at (0,1) the graph goes up one and over one. 1/1 = 1.
Therefore m=1.
Plug the variables back in to get y=1x+1.
Your answer is y=x+1.
