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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.
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.
The graph of a linear relationship will always pass through the origin?
Not always
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
What has a variation in the relationship between two variable quantities with a constant ratio?
The relationship is a linear one. For example when driving at a constant speed, the relationship between distance driven and the time driven is linear with a constant ratio (of the constant speed).
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!
Is every linear relationship a direct variation?
no.
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
What trend do you notice when comparing the length of the wrench radius and the torque?
There is a direct linear relationship.There is a direct linear relationship.There is a direct linear relationship.There is a direct linear relationship.
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.
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.
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.
Difference between the graphs of linear equations and a direct variation?
Linear has a slope direct does not but both go through the orgin
