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What is the relationship between the slopes of two parallel lines?
Parallel lines have the same slope.
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 is the relationship of the slopes of parallel lines?
They are the same.
When is the standard correlation coefficient positive?
Assume that you are correlating two variables x and y. If there is an increasing relationship between x and y, (that is , the graph of y=a+bx, slopes upward), the correlation coefficient is positive. Similarly, if there is a decreasing relationship, the correlation coefficient is negative. The correlation coefficient can assume values only between -1 and 1.
If two lines are perpendicular what is the relationship between their slopes?
If the lines are in the form y = mx + c, the m values multiplied together should equal -1.Otherwise, the dot product of the two slope vectors should equal 0.
