Study guides

☆☆

Q: Is a linear relationship always a direct variation?

Write your answer...

Submit

Still have questions?

Continue Learning about Other Math

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.

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.

Not always

The graph must be linear and pass thru the origin

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).

Related questions

YES...A direct variation is a linear relationship in which y-intercept is always 0.

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!

no.

if the line runs through the origin it is a direct variation no matter if it is increasing or decreasing

You then have a linear relationship, or a direct variation. A straight line through the origin.

The line doesn't go through the origin

There is a direct linear relationship.There is a direct linear relationship.There is a direct linear relationship.There is a direct linear relationship.

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.

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.

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.

All direct variation graphs are linear and they all go through the origin.

Linear has a slope direct does not but both go through the orgin

People also asked