Step 1: Find the slope: To find the slope, find two points on the graph and count the “rise over run” between the points. Two points here are (0,-1) and (2,1). To get from (0,-1) to the other point, you need to go “up 2” and then “right 2”. This means your slope is 2/2 or 1.
Step 2: Find the y-intercept: We can see the y-intercept is (0,-1) on the graph. We’ll use the “-1” from that point for our equation.
Step 3: Put it all together: The slope-intercept form is y=mx+b, where m is the slope and b is from the y-intercept. Putting Step 1 and Step 2 into play, we have: y = x - 1
Note: since m=1, we don’t need to write y = 1x -1. That 1 on the 1x is unnecessary.