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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.
How do parallel and perpendicular slopes compare or their y intercept?
There is no relationship between the slopes of parallel or perpendicular lines and their y-intercepts.
What is an inversely proportional graph?
An inversely proportional graph is one where the relationship between two variables is such that as one variable increases, the other variable decreases at a constant rate. This relationship is usually represented by a curve that slopes downwards from left to right.
What represents the correct relationship between the slopes of perpendicular lines?
If the slopes are m1 and m2 then m1*m2 = -1 or m2 = -1/m1.
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.
Can you describe the relationship between the equations of two parallel lines?
Their slopes are equal; y-intercept can be anything.
What represents the correct relationship between the slopes of parallel lines?
The slopes of parallel lines remain equal distance apart and when plotted on the Cartesian plane they have the same slope but with different y intercepts.
What is the relationship of the slopes of parallel lines?
They are the same.
How can different constant speeds be shown on a distance-time graph?
On a distance-time graph, different constant speeds would be represented by straight lines which have different slopes. The steeper the line, the faster the speed. Each line would have a constant slope to indicate a constant speed.
Why demand curve slopes downward?
Demand curve is slope downward because of inverse relationship between price and quantity.
In a correlation coefficient the difference between r and r squared?
r is correlation and can be positive or negative. If you want an analogy, consider it like the slope of a line. If the slope is negative, the line slopes downward and therelationship between the two variables (x & y) are inverse. That is, as x increases, y will decrease. If r is positive, then the line slopes upward and as x increases so does y. Now if x equals or is close to zero, there is no significant relationship between the two variables ... as x increases y does not change or fluctuates between positive and negative changes. The closer r is to +1 or -1, the stronger the relationship between x and y.
What does a straight line mean on a speed time graph?
It means a constant acceleration: * If the line slopes up, the object is getting faster at a constant rate; * if it slopes down, the object is getting slower at a constant rate; * If the line is horizontal, the object is neither speeding up nor slowing down, but travelling with a constant speed.
