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Direct proportions may be represented by a straight line through the origin, with the equation y = kx. The gradient of the line is the constant of proportionality and is a measure of the change in the "dependent" variable for a unit change in the "independent" variable. In the case of an inverse proportionality, the graph is a hyperbola with the equation y = k/x. The constant of proportionality, k, is a measure of the change in the reciprocal of the "dependent" variable for a unit change in the "independent" variable.
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Which are the characteristics of proportional relationship graph?
A straight line through the origin, and with a positive gradient (sloping from bottom left to top right).
What does the graph of a proportional relationships look like?
A straight line with a positive slope, passing through the origin.
How does graphing relationships help you determine whether the relationship is proportional or not?
If the points lie on a straight line through the origin, the two variables are in direct proportion.
Are speed and distance directly proportional or inversely proportional?
Directly proportional. Greater speed - greater distance.
If two quantities are (proportional nonproportional) they have a constant ratio.?
The answer is proportional.
