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A linear relationship refers to a direct proportional connection between two variables, where a change in one variable results in a consistent change in the other. This relationship can be represented graphically as a straight line on a coordinate plane, typically described by the equation (y = mx + b), where (m) is the slope and (b) is the y-intercept. In this context, the slope indicates the rate of change between the variables, and a positive slope reflects a direct correlation, while a negative slope indicates an inverse correlation.

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1d ago

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Why was there a need to invent linear equation in two variables?

If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.


How can you tell whether a linear function can be used to model a real life relationship?

You can create a scatter plot of the two variables. This may tell you if there is a relationship and, if so, whether or not it is linear. If there seems to be a linear relationship, you can carry out a linear regression. Note that the absence of a linear relationship does not mean that there is no relationship. The coordinates of the points on a circle do not show a linear relationship: the correlation coefficient is zero but there is a perfect and simple relationship between the abscissa and the ordinate. Even if there is evidence of a linear relationship, it may be valid only within the range of observations: do not extrapolate. For example, the increase in temperature of a body is linearly related to the amount of heat energy aded. However, for a solid, there will come a stage when the additional heat will not increase the temperature but will be used to melt (or sublimate) the solid. So the linear relationship will be broken.


What is linear position?

Positive Linear Relationships are is there is a relationship in the situation. In some equations they aren't linear, but other relationships are, that's a positive linear Relationship.


Is the relationship between inches and centimeters linear or non linear?

It is linear.


What does it mean when the slope of the line varied?

It means that the relationship between the x and y variables is not linear.

Related Questions

Is the relationship linear or exponential?

is the relationship linear or exponential


What is positive linear relationship?

Positive Linear Relationships are is there is a relationship in the situation. In some equations they aren't linear, but other relationships are, that's a positive linear Relationship.


What is a positive linear relationship?

A linear relationship is one where your equation forms a straight line. A positive linear relationship is one where this line has a positive gradient.


Why was there a need to invent linear equation in two variables?

If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.


How can you tell whether a linear function can be used to model a real life relationship?

You can create a scatter plot of the two variables. This may tell you if there is a relationship and, if so, whether or not it is linear. If there seems to be a linear relationship, you can carry out a linear regression. Note that the absence of a linear relationship does not mean that there is no relationship. The coordinates of the points on a circle do not show a linear relationship: the correlation coefficient is zero but there is a perfect and simple relationship between the abscissa and the ordinate. Even if there is evidence of a linear relationship, it may be valid only within the range of observations: do not extrapolate. For example, the increase in temperature of a body is linearly related to the amount of heat energy aded. However, for a solid, there will come a stage when the additional heat will not increase the temperature but will be used to melt (or sublimate) the solid. So the linear relationship will be broken.


What is linear position?

Positive Linear Relationships are is there is a relationship in the situation. In some equations they aren't linear, but other relationships are, that's a positive linear Relationship.


Is a horizontal line a linear relationship?

no ,horizontal line is a linear relationship


Is the relationship between inches and centimeters linear or non linear?

It is linear.


What does it mean when the slope of the line varied?

It means that the relationship between the x and y variables is not linear.


IWhat shape does the graph of a linear relationship take?

Linear = Straight line! So, a graph of a linear relationship is a straight line.


What trend do you notice when comparing the length of the wrench radius and the torque?

There is a direct linear relationship.There is a direct linear relationship.There is a direct linear relationship.There is a direct linear relationship.


How does the pattern of change for a linear relationship show up?

In geometry, a linear relationship is represented as a straight line.