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Is every relationship whose graph passes through the origin direct variation?
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Why isn't every linear relationship a direct variation?
The line doesn't go through the origin
How do you know that a direct variation is linear?
If the functional relationship is of the form y = cx where c is the constant of variation. In graphical form, it is a straight line through the origin.
What do all direct variation graphs have in common?
All direct variation graphs are linear and they all go through the origin.
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 constant variation in math?
Constant variation is a relationship between two variables where one is a fixed multiple of the other. The graph of such a relationship is a straight line through the origin.
What makes a decreasing linear relationship a direct variation?
if the line runs through the origin it is a direct variation no matter if it is increasing or decreasing
What if y equals kx?
You then have a linear relationship, or a direct variation. A straight line through the origin.
Why isn't every linear relationship a direct variation?
The line doesn't go through 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.
How do you know that a direct variation is linear?
If the functional relationship is of the form y = cx where c is the constant of variation. In graphical form, it is a straight line through the origin.
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 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.
What do all direct variation graphs have in common?
All direct variation graphs are linear and they all go through the origin.
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 can you tell if a line is the graph of a direct variation?
It is a straight line passing through the origin.
How can you tell of a line is the graph of direct variation?
It is a straight line passing through 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.
