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.
Direct
No, not every relationship whose graph passes through the origin represents direct variation. Direct variation specifically means that the relationship can be expressed in the form ( y = kx ), where ( k ) is a non-zero constant. While a graph passing through the origin indicates a proportional relationship, it can also represent other types of relationships, such as quadratic or polynomial functions, if they contain additional terms. Therefore, the key characteristic of direct variation is the constant ratio between ( y ) and ( x ), not just the point of intersection at the origin.
Direct variation.
if it passes through (0,0) then it is a direct variation
The constant.
no.
No.
Direct
The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities. The formula for direct variation is. y=kx (or y=kx ) where k is the constant of variation .
Direct variation.
if the line runs through the origin it is a direct variation no matter if it is increasing or decreasing
y=7x
equation, table or a graph
No it does not.
if it passes through (0,0) then it is a direct variation
YES...A direct variation is a linear relationship in which y-intercept is always 0.