How does rate of change relate to slope?
5-1 Rate of Change and Slopeand does how the
Slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run:. This simple equation is called the slope formula. So, you get this:. Rate of Change Formula helps us to calculate the slope of a line if the coordinates of the points on the line are given.
Trying to find the slope of a graphed line? First, identify two points on the line. Then, you could use these points to figure out the slope. In this tutorial, you'll see how to use two points on the line to find the change in 'y' and the change in 'x'. Then, you'll see how to take these values and calculate the slope.
Let's see what slope looks like graphically:.
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The slope of a line tells us how something changes over time. If we find the slope we can find the rate of change over that period. This graph shows how John's savings account balance has changed over the course of a year. John may want to analyze his finances a little more and figure out about how much he was saving per month. This is called the rate of change per month.
Rate of Change and Slope