Hello everyone, in this article, we will tell you how to find the slope of a graph and how to calculate it with examples. We wish you a good work ahead...
How to find the slope of a graph?
The slope of a line is determined by the ratio $\frac{change in y}{change in x}$ between any two points that lie on the line.
The slope is the constant rate of change of a line.
Example:
Use a graph to determine the slope of a line.
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| Slope of graph = -1/2 |
Step 1: Identify two points on the line. In this case, use (0, 2) and (2, 1).
Step 2: Calculate the vertical change from one point to the next. In this case, you must count down 1 space to move from the point (0, 2) to the point (2, 1).
Step 3: Calculate the horizontal change from one point to the next. In this case, you must count right 2 spaces to move from the point (0, 2) to the point (2, 1).
Step 4: Write the ratio showing $\frac{vertical change}{horizontal change}$ in simplest form.
In this case, the slope is represented by the ratio $\frac{-1}{2}$ , or $-\frac{1}{2}$ .
Solution: The slope is negative because the line falls from left to right.
Answer = -1/2
Practice:
Source : collegeboard.org
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