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When either of the two variables is zero, the other must be zero. Also, every increase in one variable by some fixed amount must be accompanied by an increase in the other by the same amount each time. The two sets of increases may be different, though.
Alternatively, the graph of the two variables must be a straight line in the first quadrant and must pass through the origin.
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How can you decide whether a relationship is linear by studying the words used to describe a variable?
Words such as "proportional to" "increases as" "decreases as", usually give an indication of a linear relation. If there are words like "Square" "power" "inversely proportional" then most likely not linear.
Is the relationship linear or exponential?
is the relationship linear or exponential
Is it true that the graph of a proportional relationship does not include the origin?
It is true in the case of inversely proportional relationship.
Is y-2.5x a proportional relationship or no?
A proportional relationship exists when two variables are related by a constant ratio. In the expression y-2.5x, there is no constant multiplier connecting y and x, indicating a non-proportional relationship. If the relationship were proportional, the expression would be in the form y = kx, where k is a constant.
How can you tell something is a linear function?
A function is linear if one variable is directly proportional to the other.
