1. a) If the rate of change is constant, then the relationship is linear. For example, if the number of something increases by 2 each time and it is consistent, it is linear. If one time it increases by 3 and the next it increases by 2, it is not linear.
b) If you notice that the line is straight, then the relationship is linear. If the line is curved or not straight, it is not linear because this means the rate of change is not constant.
c) You can decide whether a relationship is linear by studying the words used to describe a variable by seeing if y is directly proportional to x.
d) The equation, y = mx + b is a straight line, so if the equation is y = mx + b, it is linear.
2. The advantages are that you can clearly see if a relationship is linear or non linear, however, the pattern can change suddenly and not be consecutive after a certain number, so the pattern can be changed at any time.
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