The system doesn't have zero energy
Not always
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.
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.
The graph must be linear and pass thru 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.
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.
Inverse variation does not pass through the origin, however direct variation always passes through the origin.
Not always
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.
The graph must be a straight line, and it must pass through the origin.
no
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
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.
The graph must be linear and pass thru the origin
For a graph to be proportional, it must pass through the origin (0,0) and maintain a constant ratio between the two variables represented. This means that as one variable increases or decreases, the other does so at a consistent rate, resulting in a straight line through the origin. If either of these conditions is not met, the graph is not considered proportional.
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.
Graphs of direct variation pass through the origin so the y-intercept would be 0.