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Why must the graph of a relationship run through the origin for it to be proportional?
Wiki User
∙ 10y ago
You can write a proportionality (between "x" and "y") as:
y = kx
where x is some constant.
For x = 0, y is also equal to zero, no matter what the value of k. Thus, the point (0, 0) - i.e., the origin - is part of the solution set.
Wiki User
∙ 10y ago
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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.
Does a graph with a proportional relationship always intersect at the origin?
Yes.
What are necessary components for a graph of a proportional relationship?
If the scales on the two axes are linear, then the graph must be a straight line through the origin which is not one of the axes..
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 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.
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 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 graph a proportional relationship?
It can be either a straight line through the origin or a hyperbola.
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 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 does a graph of a proportional relationship look like?
It's a slanted straight line that goes through the origin of the coordinates.
What are necessary components for a graph of a proportional relationship?
If the scales on the two axes are linear, then the graph must be a straight line through the origin which is not one of the axes..
What two criteria must be true for a graph to be a proportional relationship?
It must be a straight line. It must pass through the origin.
Which are the characteristics of proportional relationship graph?
A straight line through the origin, and with a positive gradient (sloping from bottom left to top right).
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.
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.
