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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.
What two criteria must be true for a graph to be a proportional relationship?
It must be a straight line. It must pass through the origin.
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
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
What two criteria must be true for a graph to be a proportional relationship?
It must be a straight line. It must pass through the origin.
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.
Why does the graph of length against period not pass through the origin?
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.
Does the force vs acceleration graph goes through origin?
No, in general, the force vs acceleration graph does not always pass through the origin. This is because there may be a non-zero force acting on an object even when it is at rest. The presence of a non-zero force at rest would lead to a non-zero intercept on the force vs acceleration graph.
