Not always
A linear relationship whose graph does not pass through the origin: for example, the relation between temperatures on the Celsius and Fahrenheit scales.
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.
It can be either a straight line through the origin or a hyperbola.
If the question is about a pendulum, the answer is that it should. However, the square-root of the length is directly proportional to the length so that the relationship between the two variables is not linear but quadratic. If the graph is extrapolated accordingly, then it will. There may still be an element of measurement error which may prevent the graph from going exactly through the origin.
It's a slanted straight line that goes through the origin of the coordinates.
No, they don't.
No.
A straight line that goes through the origin.
The line doesn't go through the origin
You then have a linear relationship, or a direct variation. A straight line through the origin.
The graph of a linear proportion will be a straight line passing through the origin. The equation will have the form y = mx, also written as y = kx.
In a proportional relationship, the ratio between the two variables is constant, meaning that if one variable changes, the other changes in a consistent way, maintaining the same ratio. This results in a straight line that passes through the origin (0,0) on a graph. In contrast, a general linear relationship can have varying slopes and may not pass through the origin, allowing for a y-intercept that is not zero. Thus, while all proportional relationships are linear, not all linear relationships are proportional.
if the line runs through the origin it is a direct variation no matter if it is increasing or decreasing
The graph must be a straight line, and it must pass through the origin.
If the graph is a straight line through the origin, sloping upwards to the right, then it is a proportional linear relationship.
it is just that- a linear function that goes through ther origin. ======================================================= Any equation y = ax, where a is a constant, will do so.
A linear relationship whose graph does not pass through the origin: for example, the relation between temperatures on the Celsius and Fahrenheit scales.