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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.
Does a graph with a proportional relationship always intersect at the origin?
Yes.
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.
What are necessary components for a graph of a proportional relationship?
Oh, what a lovely question! To create a graph of a proportional relationship, you'll need two important components: the x and y axes. The x-axis represents the independent variable, like time or distance, while the y-axis represents the dependent variable, such as speed or cost. By plotting points where the values are directly proportional, you can connect them with a straight line that passes through the origin. Happy graphing!
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.
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.
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.
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.
What two criteria must be true for a graph to be a proportional relationship?
If a proportional relationship is graphed on the coordinate plane, what things must be true?
