0
A graph is considered proportional when it demonstrates a constant ratio between two variables, typically represented as a straight line that passes through the origin (0,0). This means that as one variable increases or decreases, the other variable does so at a consistent rate, maintaining a constant slope. In mathematical terms, this relationship can be expressed as ( y = kx ), where ( k ) is a non-zero constant. If the graph is linear and does not cross the origin, it indicates a non-proportional relationship.
What else can I help you with?
How can you determine if a graph is proportional?
A graph is proportional if it passes through the origin (0,0) and maintains a constant ratio between the y-values and x-values for all points on the graph. This means that as the x-values increase, the y-values increase at a consistent rate. Additionally, if you can draw a straight line through the origin that accurately represents the relationship between the two variables, the graph is proportional. If it does not meet these criteria, it is not proportional.
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.
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.
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 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
How can you determine if a graph is proportional?
A graph is proportional if it passes through the origin (0,0) and maintains a constant ratio between the y-values and x-values for all points on the graph. This means that as the x-values increase, the y-values increase at a consistent rate. Additionally, if you can draw a straight line through the origin that accurately represents the relationship between the two variables, the graph is proportional. If it does not meet these criteria, it is not proportional.
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.
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.
