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The constant rate of change between two points on a line?
The constant rate of change between two points on a line is called slope.
What is the difference between tangent and secant line?
The tangent line is the instantaneous rate of change at a point on a curve. The secant line crosses a curve twice at points A and B, representing the average rate of change between those two points.
How does the slope differ from average rate of change?
They are the same for a straight line but for any curve, the slope will change from point to point whereas the average rate of change (between two points) will remain the same.
What is the rate of change between any 2 points on a line?
We define the rate of change between any two linear points as the slope, and designate it with the letter m. m = delta y over delta x.
How is the steepness of the line is related to the rate of change?
the steepness of the line is the slope of the line which is the rate of change; the steeper the slope, the faster the rate of change
The constant rate of change between two points on a line?
The constant rate of change between two points on a line is called slope.
When the rate of change between any two points on a line is negative What is the slope of the line?
No
Is the rate of change between any two points on a line?
That's called the line's slope.
What is the difference between tangent and secant line?
The tangent line is the instantaneous rate of change at a point on a curve. The secant line crosses a curve twice at points A and B, representing the average rate of change between those two points.
How does the slope differ from average rate of change?
They are the same for a straight line but for any curve, the slope will change from point to point whereas the average rate of change (between two points) will remain the same.
What is the rate of change between any 2 points on a line?
We define the rate of change between any two linear points as the slope, and designate it with the letter m. m = delta y over delta x.
How do you find the rate of change between two points?
For two points at (x1,y1) and (x2,y2), respectively, the rate of change is equal to the slope of the shortest possible line segment connecting the two points. This slope can be calculated by the following equation: m = (y2-y1)/(x2-x1)
What must be true about the average rate of change between any two points on the graph of an increasing function?
if a function is increasing, the average change of rate between any two points must be positive.
How do you find the constant rate of change on graph?
You measure the change in the vertical direction (rise) per unit change in the horizontal direction (run). The rate of change is constant between A and B if AB is a straight line. Take any two points, A = (xa, ya) and B = (xb, yb) then the average rate of change, between A and B = (yb- ya)/(xb- xa).
An important property of every line is its steepness or?
slope, which indicates how steeply the line rises or falls as it moves along its path. The slope is found by taking the ratio of the vertical change to the horizontal change between two points on the line. It is a measure of the rate at which the line is ascending or descending.
If you know two points on a line how can you find the rate of change of the variables being graphed?
You divide the difference in y-coordinates by the difference in x-coordinates. Or whatever the variables are.
How is the steepness of the line is related to the rate of change?
the steepness of the line is the slope of the line which is the rate of change; the steeper the slope, the faster the rate of change
