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!
YES...A direct variation is a linear relationship in which y-intercept is always 0.
no.
All direct variation graphs are linear and they all go through the origin.
The line doesn't go through the origin
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!
YES...A direct variation is a linear relationship in which y-intercept is always 0.
No.
no.
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.
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
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.
if the line runs through the origin it is a direct variation no matter if it is increasing or decreasing
Y=1/x
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.
You then have a linear relationship, or a direct variation. A straight line through the origin.