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What else can I help you with?
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.
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.
What is te point where the axes of the coordinate plane intersect?
The axes of coordinate planes intersect at the point of origin.
Where is the origin of a rectangular coordinate system located?
The origin is where the two intersect. This is where both number lines are 0.
What is relationship among proportional relationships lines rates of change and slope?
The graph of a relationship in which two variables are in direct proportion is a straight line through the origin, whose slope = the rate of change = the constant of proportionality.
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.
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.
Why the relationship represent by the table is proportional?
A relationship represented by a table is considered proportional if the ratio between the values of the two quantities remains constant. This means that for every increase in one quantity, there is a corresponding consistent increase in the other, maintaining the same ratio. In a proportional relationship, if you divide one quantity by the other, the result will always yield the same constant value. Additionally, the graph of a proportional relationship will always be a straight line that passes through the origin (0,0).
How do we know when an equation represents a proportional relationship?
If it passes through the origin
How do you graph a proportional relationship?
It can be either a straight line through the origin or a hyperbola.
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.
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.
Is it true the graph of y x a will always intersect the origin?
Yes, the graph of the equation ( y = ax ) will always intersect the origin (0,0) regardless of the value of ( a ). This is because when ( x = 0 ), the equation simplifies to ( y = a \cdot 0 = 0 ), indicating that the point (0,0) is always on the graph. Therefore, the graph will always pass through the origin.
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 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 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.
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.
