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Proportional. linear
If the product of two variables is equal to a constant, then they are inversely proportional. eg. If xy=c where c is a constant, then x and y are inversely proportional.
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.
The main characteristic is that the more it rises, the more quickly it rises. The slope is proportional to the height of the graph. So the growth quickly gets out of hand.
A linear non-proportional relationship can be identified from a table if the ratios of the y-values to the x-values are not constant. In other words, if the values in the y-column do not increase or decrease by the same factor for each increase in the x-values. From a graph, a non-proportional linear relationship can be identified if the line does not pass through the origin (0,0) or if the slope of the line is not constant. Finally, in an equation, a non-proportional linear relationship can be identified if it does not have a multiplier or constant ratio in front of the x-variable.
A straight line through the origin, and with a positive gradient (sloping from bottom left to top right).
If the graph is a straight line through the origin, sloping upwards to the right, then it is a proportional linear relationship.
It is true in the case of inversely proportional relationship.
The graph of a proportional relationship has the same unit rate, is a straight line, and starts at the origin.
It is a graph of a proportional relationship if it is either: a straight lie through the origin, ora rectangular hyperbola.
Yes.
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.
For each of the following relationships, graph the proportional relationship between the two quantities, write the equation representing the relationship, and describe how the unit rate, or slope is represented on the graph.
It can be either a straight line through the origin or a hyperbola.
The graph of a linear proportion will be a straight line passing through the origin. The equation will have the form y = mx, also written as y = kx.
If the scales on the two axes are linear, then the graph must be a straight line through the origin which is not one of the axes..
It's a slanted straight line that goes through the origin of the coordinates.