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Do linear graphs always pass through origin?

No, they don't.


Does simple linear regression always go through the origin?

No.


What shape does the grapg of a linear relationship take?

A straight line that goes through the origin.


What if y equals kx?

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


Why isn't every linear relationship a direct variation?

The line doesn't go through the origin


What is proportional linear relationship in math?

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.


What is required of a proportional relationship that is not required of a general linear relationship?

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.


How can you decide whether a relationship is linear by studying the pattern in a graph?

The graph must be a straight line, and it must pass through the origin.


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 the graph represent a proportional or non-proportional liner relationship How do you know?

If the graph is a straight line through the origin, sloping upwards to the right, then it is a proportional linear relationship.


Do all linear graphs represent proportional relationalships?

Not all linear graphs represent proportional relationships. A proportional relationship is one where the graph passes through the origin (0,0), indicating that when one variable is zero, the other is also zero. Linear graphs can represent relationships that have a constant rate of change but do not necessarily pass through the origin, indicating a non-proportional relationship. Therefore, while all proportional relationships are linear, not all linear relationships are proportional.


What is a linear function that goes through the origin?

it is just that- a linear function that goes through ther origin. ======================================================= Any equation y = ax, where a is a constant, will do so.