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How do you know a graph shows a proportional relationship?
A graph shows a proportional relationship if it is a straight line that passes through the origin (0,0). This indicates that as one variable increases, the other variable increases at a constant rate. Additionally, the ratio of the two variables remains constant throughout the graph. If the line is not straight or does not pass through the origin, the relationship is not proportional.
How do you know if a graph represents a proportional relationship?
A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0). This indicates that the ratio of the two variables remains constant. Additionally, for every increase in one variable, there is a corresponding constant increase in the other, maintaining a consistent slope. If the graph does not pass through the origin or is not linear, it does not represent a proportional relationship.
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.
How do you tell if a graph is not proportional?
A graph is not proportional if the relationship between the two variables does not pass through the origin (0,0) or if it does not maintain a constant ratio between the two variables. In a proportional relationship, the line graphed will be straight and through the origin, indicating that as one variable increases, the other increases at a consistent rate. If the graph shows curvature or if the line is not straight, it indicates a non-proportional relationship.
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.
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 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 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 do you know a graph shows a proportional relationship?
A graph shows a proportional relationship if it is a straight line that passes through the origin (0,0). This indicates that as one variable increases, the other variable increases at a constant rate. Additionally, the ratio of the two variables remains constant throughout the graph. If the line is not straight or does not pass through the origin, the relationship is not proportional.
How do you know if a graph represents a proportional relationship?
A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0). This indicates that the ratio of the two variables remains constant. Additionally, for every increase in one variable, there is a corresponding constant increase in the other, maintaining a consistent slope. If the graph does not pass through the origin or is not linear, it does not represent a 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.
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?
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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
Does a graph with a proportional relationship always intersect at the origin?
Yes.
What is a proportional graph line?
It is a straight line through the origin.
