Answer:
False
Step-by-step explanation:
The defining characteristic of a line is that is has a constant average rate of change.
- That is, for a given line, for whatever two points are selected, the average rate of change between then will be the same.
- This constant average rate of change is called the slope of the line.
[tex]slope=\frac{rise}{run}=\frac{verticalchange}{horizontal change} =\frac{y}{x} =\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
- The first two versions are more geometric in nature (applied problems)
- The second two version are more algebraic (points on the x-y plane)
Slope is
- Positive when the line rises from left to right.
- Negative when the line falls from left to right
- Zero when the line is horizontal ( no change in y)
- Undefined when the line is vertical (no change in x)
