Rate of Change Definition
Published:
Fill in the blank: Rate of change is the __________ change over the horizontal change.
Options:
vertical
diagonal
This question includes visual content: A Cartesian coordinate plane displays a purple line passing through the origin (0,0), with a positive slope. A right triangle is shaded in light purple, with its hypotenuse lying on the line. The horizontal leg of this triangle has a label '1' on the x-axis, and the vertical leg has a label '2' on the y-axis, indicating a rise of 2 and a run of 1. The grid lines have numeric labels on both axes from -5 to 4.
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Hi İzel, let's look at how we define the rate of change for a line on a graph.
Defining Rate of Change
The prompt asks us to fill in the blank: Rate of change is the blank change over the horizontal change. Looking at the graph, we see a line passing through the origin.
In coordinate geometry, the rate of change is another name for the slope of a line.
Remember the phrase rise over run? The run is the horizontal change, and the rise is the movement up or down along the y-axis.
Rise over Run
Movement along the y-axis is considered vertical change. We can see this in the light purple triangle on the graph, where the horizontal side is labeled one and the vertical side is labeled two.
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