0
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.
What else can I help you with?
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.
Why does some graph fails to pass through the origin?
The system doesn't have zero energy
Does the graph of an inverse variation pass through the origin?
Inverse variation does not pass through the origin, however direct variation always passes through the origin.
The graph of a linear relationship will always pass through the origin?
Not always
Does the graph of a direct variation pass through the origin?
yes, a graph of a direct variation must pass through the origin because direct variation is always in form of y=mx where x and y are variables and m is a constant.
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
Does a graph showing direct proportion always have to be a straight line?
Assuming both the scales on the graph are linear (that is to say that the numbers go up evenly) then YES, a graph which shows direct proportion must be a straight line. It must also pass through the origin (0,0). A straight line which does not pass through the origin is NOT showing direct proportion. Duncan
How does the constant of variation affects the appearance of the graph of a direct variation function?
The formula direct variation is xk=y, where k is the constant of variation.Direct variation functions always pass through the origin. Direct variation functions are linear functions (goes in a straight line), except that they pass through the origin. Regular linear functions don't pass through the origin. That is the only difference.
How can you tell by examining a graph if a line represents a direct variation?
The graph must be linear and pass thru the origin
Why does the graph of an equation expressing direct variation always pass through the origin?
For a direct variation, y=kx where k is the constant of variation if x =0 then y=0 and the graph of y=kx passes through the origin. -Indiana Prentice Hall Algebra 2 Text Book.
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.
What is a non example of a proportion?
A linear relationship whose graph does not pass through the origin: for example, the relation between temperatures on the Celsius and Fahrenheit scales.
