The graph must be a straight line, and it must pass through the origin.
no
Graphs of direct variation pass through the origin so the y-intercept would be 0.
No. The rectangular hyperbola does not pass through the origin but it represents inverse proportionality.
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.
The system doesn't have zero energy
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
It must be a straight line. It must pass through the origin.
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.
If the question is about a pendulum, the answer is that it should. However, the square-root of the length is directly proportional to the length so that the relationship between the two variables is not linear but quadratic. If the graph is extrapolated accordingly, then it will. There may still be an element of measurement error which may prevent the graph from going exactly through the origin.