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Is every linear relationship a direct variation?
no.
Does the function y equals 8x represent a direct or inverse variation?
Direct
Is every relationship whose graph passes through the origin direct variation?
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.
What is a variation that is the relationship between two variable quantities with a constant ratio?
Direct variation.
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.
What does k represent in direct variation?
The constant.
Is a linear relationship always a direct variation?
No.
Is every linear relationship a direct variation?
no.
Does the function y equals 8x represent a direct or inverse variation?
Direct
What does the k represent in the direct variation ykx?
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 .
Is every relationship whose graph passes through the origin direct variation?
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.
What is a variation that is the relationship between two variable quantities with a constant ratio?
Direct variation.
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
Does y equals 7x represent a direct variation?
y=7x
What the three ways to represent a direct variation?
equation, table or a graph
Does y -3 x to the second power represent a direct variation?
No it does not.
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.
