The Slope of a Line

A series of free Basic Algebra Lessons: Algebra I and Algebra II.

In this lesson, we will learn

  • The definition of Slope
  • How to find the Slope of a Line from a Graph
  • How to find the Slope of a Line from 2 Points
  • How to find the Slopes of Vertical and Horizontal Lines
  • How to find the Slope of a Line from an Equation

 

 

Definition of Slope

One of the most important things to understand about lines is the definition of slope. Slope is the 'steepness' of the line, also commonly known as rise over run. We can calculate slope by dividing the change in the x-value between two points over the change in the y-value. In order to understand the importance of the definition of slope, one should understand how to interpret graphs and how to write an equation.

 

 

Finding the Slope of a Line from a Graph

If given a line and its graph, we can find the slope easily and quickly. Finding the slope of a line from a graph is one of the simplest ways to calculate slope. Slope is equals to rise over run.

One must remember when finding the slope of a line that a downhill line has a negative slope, and an uphill line has a positive slope. Also important in an understanding of the definition of slope and interpreting graphs.


 

 

Finding the Slope of a Line from 2 Points

If given the equation of a line, or two points on the line we can try to find the slope of a line from two points. This is often the most efficient way to calculate slope, and can be done with the slope formula to find rise over run. Finding the slope of a line from two points requires us to know the definition of slope. and how to plot points.



 



Find the Slopes of Vertical and Horizontal Lines

 

 

Finding the Slope of a Line from an Equation

If we want to find the slope of a line and we have the equation, we can do so using one of the many methods for finding the slope of a line from an equation Finding the slope of a line from an equation is an important skill and can involve using slope-intercept form or finding two points to calculate it. An understanding of how to write an equation in slope-intercept form is important.

 

 

 

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