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It is a graph of a proportional relationship if it is either:
  • a straight lie through the origin, or
  • a rectangular hyperbola.
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Q: How do you know if a graph is proportional?
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Does the graph represent a proportional or non-proportional liner relationship How do you know?

If the graph is a straight line through the origin, sloping upwards to the right, then it is a proportional linear relationship.


How do you know when a graph is proportional?

It makes a line ,it goes through the origin, it has a constant


How can you know if a graph represents a 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.


How can you tell from the graph of Molly's garden on the previous slide that it represents a proportional relationship?

The graph of a proportional relationship has the same unit rate, is a straight line, and starts at the origin.


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.


Graph showing lengths proportional to ammounts?

weener


Do all linear equations need to be proportional?

No.A directly proportional graph has an equation of the form y = mx. It always passes through the origin.A linear graph will have an equation in the from y = mx + c. This has a y-intercept at (0, c). It doesn't pass through the origin unless c = 0. The directly proportional graph is a special case of a linear graph.


Plot a of graph period T s against length l cm?

the graph is directly proportional


What is a proportional graph line?

It is a straight line through the origin.


Does a graph with a proportional relationship always intersect at the origin?

Yes.


What are the properties of proportional and non-proportional tables and graphs?

If two quantities are proportional, then they have a constant ratio.If the ratio is not constant, the two quantities are said to be non-proportional.Proportional will always go through the origin on a graph. (0,0)Graph will always be a straight line.Non-proportional line does not go through the origin.


What is directly and invertly related on a graph?

The x value and the y value are directly and invertly related on a graph. This only occurs in a specific type of graph called a proportional graph.