Slope

My Definition

Key Characteristics

The following are true of slope:

- It describes the steepness of a line.
- It can also be referred to as the rate of change.
- It can be written as a ratio that compares the change in the dependent variable to change in the independent variable, Δ.
*y*Δ*x* - It can be positive, negative, zero, or undefined.
- It is represented algebraically by the variable,
*m*, in the formula*y*=*mx*+*b*. - It can be determined using the formula
*m*=when two points on a line are known.*y*_{2}-*y*_{1}*x*_{2}-*x*_{1} - It can be determined using the sides of right triangles (slope triangles) on a graph.

Example

Non-example

Given the graph of

2*3*

TEKS: 7(7)(A), 8(4)(A), 8(4)(B), 8(4)(C)