How To Find Rate Of Change In A Graph

Finding the rate of change in a graph can be a tricky business. But with a few careful steps you can find this crucial information. Here’s how:

First take a look at the graph and identify the two points between which you want to find the rate of change. Let’s call these points A and B.

Next calculate the difference between the two points’ coordinates. So if point A has coordinates (x1 y1) and point B has coordinates (x2 y2) the difference between them is (x2-x1 y2-y1).

Now divide the y-coordinate difference by the x-coordinate difference. So if the difference between the y-coordinates is 10 and the difference between the x-coordinates is 5 the rate of change is 2.

You can also use this method to calculate the average rate of change over a given period of time. To do this simply divide the y-coordinate difference by the x-coordinate difference and then multiply by the number of time units represented by the x-coordinate difference. So if the difference between the y-coordinates is 10 and the difference between the x-coordinates is 5 and the x-coordinate difference represents 2 days the average rate of change over those 2 days is 4.

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This method can be applied to any graph to find the rate of change between any two points. Just be careful to identify the points correctly and to use the same units for both the x- and y-coordinates.

How do you find the rate of change in a graph?

The rate of change is the slope of the line on the graph.

How do you find the slope of a line on a graph?

The slope is the steepness of the line on the graph and is calculated by finding the rise over run.

What is the rise?

The rise is the vertical distance between two points on the graph.

What is the run?

The run is the horizontal distance between two points on the graph.

What is the equation for slope?

The equation for slope is rise over run or m= (y2-y1)/(x2-x1).

How do you find the y-intercept?

The y-intercept is the point where the line crosses the y-axis.

What is the equation for the y-intercept?

The equation for the y-intercept is y=mx+b where b is the y-intercept.

How do you find the x-intercept?

The x-intercept is the point where the line crosses the x-axis.

What is the equation for the x-intercept?

The equation for the x-intercept is x= -b/m where b is the y-intercept and m is the slope.

What is the domain of a function?

The domain of a function is the set of all input values for which the function produces a result.

What is the range of a function?

The range of a function is the set of all output values for which the function produces a result.

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What is a function?

A function is a mathematical relation between two sets usually denoted by an equation.

What is a graph?

A graph is a visual representation of a function.

What is an equation?

An equation is a mathematical statement that two things are equal.

What is the slope-intercept form of an equation?

The slope-intercept form of an equation is y=mx+b where m is the slope and b is the y-intercept.

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