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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.
What are the effect of slope?
The slope of a line represents the rate of change between two variables. A positive slope indicates a direct relationship, where one variable increases as the other increases. A negative slope indicates an inverse relationship, where one variable decreases as the other increases. The steeper the slope, the greater the rate of change between the variables.
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 is the relationship between the slope and the pythagorean theorem?
There is no relationship between slope and the theorem, however the theorem does deal with the relationship between angles and sides of a triangle.
What is the difference between positive and negative slope?
A positive slope indicates that as one variable increases, the other variable also increases, reflecting a direct relationship. Conversely, a negative slope signifies that as one variable increases, the other variable decreases, indicating an inverse relationship. In graphical terms, a positive slope rises from left to right, while a negative slope falls from left to right. This distinction is crucial in understanding trends and correlations in data.
What is the difference between positve and negative correlation?
Positive correlation has a positive slope and negative correlation has a negative slope.
If two variables have a negative linear correlation is the slope of the least-squares line positive or negative?
If two variables have a negative linear correlation, the slope of the least-squares regression line is negative. This indicates that as one variable increases, the other variable tends to decrease. Thus, the negative slope reflects the inverse relationship between the two variables.
What is the name of the correlation in maths with a slope?
In mathematics, the correlation associated with a slope is often referred to as the "linear correlation." This relationship is typically represented by a linear equation, where the slope indicates the rate of change between two variables. A positive slope indicates a direct relationship, while a negative slope denotes an inverse relationship. The strength and direction of this correlation can be quantified using the Pearson correlation coefficient.
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
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.
