Answer:
f(x)=x+2
Step-by-step explanation:
Pick any two points from the question and plug them into the equation y2-y1/x2-x1. In this case, I picked (0,2) and (1,3). Therefore, the equation will be 3-2/1-0. Simplify this to get 1/1 which is equal to 1. Therefore, the slope is equal to 1. Then pick a point and plug it into the point slope form equation which is y-y1=m(x-x1) where m is the slope. In this case, I picked (0,2). Therefore, the equation will be y-2=(x-0). Simplify this to get y-2=x. You want to isolate y so you have to add 2 to both sides. This will make the equation y=x+2 which is the answer. Therefore, the answer is y=x+2 or f(x)=x+2.
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