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How can you tell the difference between a graph in which one variable is directly proportional to another and a graph in which two variables vary inversely?
1. You can tell the difference because the proportional one has the same slope while the inversely one has opposite reciprocal slope.
A straight line on a graph means there is a what relationship between the dependent variable and the independent variable?
Proportional. linear
What is directly and inversely proportional relationship?
Directly proportional relationship is F=ma, F is directly proportional to a. Inversely proportional relationship is v=r/t, v is inversely proportional to t.
How can you identify a linear non proportional relationship from a table a graph and an equation?
A linear non-proportional relationship can be identified from a table if the ratios of the y-values to the x-values are not constant. In other words, if the values in the y-column do not increase or decrease by the same factor for each increase in the x-values. From a graph, a non-proportional linear relationship can be identified if the line does not pass through the origin (0,0) or if the slope of the line is not constant. Finally, in an equation, a non-proportional linear relationship can be identified if it does not have a multiplier or constant ratio in front of the x-variable.
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 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.
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 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.
What does the line graph tell you about the relationship between the variables in an experiment?
What dose a line graph tell you about the relationship between the variables in an experiment
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 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..
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).
