Unit rate, slope, and rate of change are different names for the same thing. Unit rates and slopes (if they are constant) are the same thing as a constant rate of change.
Parallel lines have the same slope.
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.
They are the same.
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 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.
There is no relationship between the slopes of parallel or perpendicular lines and their y-intercepts.
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.
If the slopes are m1 and m2 then m1*m2 = -1 or m2 = -1/m1.
The relationship between the slope of a surface and its tendency to sink is that surfaces with steeper slopes are more likely to sink compared to surfaces with gentler slopes. Steeper slopes exert more pressure on the surface, making it more prone to sinking or collapsing.
Parallel lines have the same slope.
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.
Their slopes are equal; y-intercept can be anything.
They are the same.
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.
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.
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.
Demand curve is slope downward because of inverse relationship between price and quantity.