If it passes through the origin
Directly proportional relationship is F=ma, F is directly proportional to a. Inversely proportional relationship is v=r/t, v is inversely proportional to t.
they are equivalent
Do all linear graphs have proportional relationship
Some are, some are not.
If the graph is a straight line through the origin, sloping upwards to the right, then it is a proportional linear relationship.
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If it passes through the origin
Proportional is when it is proportional.
It is a graph of a proportional relationship if it is either: a straight lie through the origin, ora rectangular hyperbola.
Directly proportional relationship is F=ma, F is directly proportional to a. Inversely proportional relationship is v=r/t, v is inversely proportional to t.
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.
You cannot represent a proportional relationship using an equation.
It is true in the case of inversely proportional relationship.
It is a relationship of direct proportion if and only if the graph is a straight line which passes through the origin. It is an inverse proportional relationship if the graph is a rectangular hyperbola. A typical example of an inverse proportions is the relationship between speed and the time taken for a journey.
If the ratio between each pair of values is the same then the relationship is proportional. If even one of the ratios is different then it is not proportional.
Suppose the two variables are X and Y. If, for any observation, X/Y remains the same, the relationship is proportional.