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A graph fails to pass through the origin when the relationship it represents does not have a value of zero when both variables are zero. This can occur in various contexts, such as when there is a constant term in an equation that shifts the graph away from the origin. For example, in a linear equation like ( y = mx + b ) where ( b ) is not zero, the graph will intercept the y-axis at ( b ) instead of the origin. Additionally, in real-world scenarios, certain phenomena may inherently have a baseline value greater than zero, preventing the graph from intersecting at the origin.
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How can you decide whether a relationship is linear by studying the pattern in a graph?
The graph must be a straight line, and it must pass through the origin.
Should the line of a normal force vs static friction graph pass through the origin Same goes for kinetic friction graph?
no
What is the y-intercept of the graph of a direct variation equation?
Graphs of direct variation pass through the origin so the y-intercept would be 0.
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 the line automatically nonproportional if it doesnt pass through the origin'?
No. The rectangular hyperbola does not pass through the origin but it represents inverse proportionality.
