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Direct variation means that a linear function can be written as y = kx.
The y-intercept must be (0, 0).
The constant, k, is the slope.
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∙ 11y ago
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Difference between the graphs of linear equations and a direct variation?
Linear has a slope direct does not but both go through the orgin
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
Which equation represents a direct linear variation?
Y=1/x
What if y equals kx?
You then have a linear relationship, or a direct variation. A straight line through the origin.
What is the end behavior of a linear function?
Assuming the domain is unbounded, the linear function continues to be a linear function to its end.
Is a linear function a direct variation?
yes * * * * * No, it is not. In a direct variation, if one of the variables is 0, the other MUST also be 0. In a linear function, they will be the intercepts.
Is the direct variation of two variables always a linear function?
YES...A direct variation is a linear relationship in which y-intercept is always 0.
Does every linear equasion represent a direct variation relationship?
I have recently been doing all these direct variation problems but not every linear relationship is a direct variation... But every direct variation is a linear relation!
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.
Is a linear relationship always a direct variation?
No.
Is every linear relationship a direct variation?
no.
What do all direct variation graphs have in common?
All direct variation graphs are linear and they all go through the origin.
Difference between the graphs of linear equations and a direct variation?
Linear has a slope direct does not but both go through the orgin
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
Which equation represents a direct linear variation?
Y=1/x
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
