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.
If the slopes are m1 and m2 then m1*m2 = -1 or m2 = -1/m1.
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.
Demand curve is slope downward because of inverse relationship between price and quantity.
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.
By straight lines having different slopes.
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.
change in free energy is positive