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Q: How does a graph show a proportional relationship?
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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.


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.


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.


How do you know if a graph is proportional?

It is a graph of a proportional relationship if it is either: a straight lie through the origin, ora rectangular hyperbola.


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

Yes.


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.


What is the relationship among proportional relationships lines rates of change and slope?

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.


How do you graph a proportional relationship?

It can be either a straight line through the origin or a hyperbola.


How does a linear relationship show up in a graph?

A linear relationship will show up on a graph as a straight line.


What graph can be used to show relationship?

circle graph


What type of relationship does increased distance and decrease gravity show?

Inversely proportional


What is proportional linear relationship in math?

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.