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Q: What is the relationship between the slope of the cost line?
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What is the relationship between slope and a perpendicular line?

If a line has a slope m then a line perpendicular to it has a slope -1/m ( negative inverse). For example if a line has slope positive 2, its perpendicular has slope -1/2


Is there a relationship between the sign positive or negative of the slope of a line and the angle the line makes with the x axis?

yes, the slope of the line is the tangent of the angle


A straight line on a graph means there is a what relationship?

A direct relationship if the slope of the line is positive. An inverse relationship if the slope of the line is negative.


How does finding slope compare to finding the rate of change between two variables in a linear relationship?

The slope of a line is the same thing as the rate of change between two variables in a linear relationship.


Is there a relationship between the sign positive or negative of the slope of a line and the angle the line makes with the x-axis?

Yes.


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.


What is the slope relationship of perpendicular lines?

They are negative reciprocals. So if the slope of a line is x, the slope of the perpendicular line is -1/x


What is the difference between a line with a slope of zero and no slope?

A line with slope of zero is horizontal. A line with no slope is vertical because slope is undefined on a vertical line.


How do you tell whether the relationship between two variables is linear?

By definition, if you graph the relationship between two variables and the result is a straight line (of whatever slope) that is a linear relationship. If it is a curve, rather than a straight line, then it is not linear.


What relationship is used to find the slope of a line?

slope=rise over run


Is there a relationship between the sign of the slope of a line and the angle the line makes with the x-axis?

Yes, there a relationship between the sign (positive or negative) of the slope of a line and the angle the line makes with the x-axisWhen a line slopes up from left to right, it has a positive slope. This means that a positive change in y is associated with a positive change in x. The steeper the slope the greater the rate of change in y in relation to the change in x.When a line slopes down from left to right, it has a negative slope. This means that a negative change in y is associated with a positive change in x.


What does the slope of a trend line tell you about the relationship between two quantities?

If the slope of the trend line between variables X and Y is m, then an increase in value of 1 unit in X is associated with an increase of m units in the value of Y. The relationship is one of association, not of cause-and-effect.