Slope of a Line

The slope, or gradient, of a line can tell quite a mathematical story.  At its simplest, the slope tells you how fast a line is rising or falling on a coordinate graph.  This tiny tidbit of information will help you understand the data behind the line, specifically, how the variables are related.

If the slope is positive, that means the line will rise as it moves from left to right, indicating that the variables increase together.  For instance, a line that compares the amount of time you study versus your grade point average will have a positive slope, or rising line.  Obviously, the more you study, the higher your G.P.A. will be!

If the slope of a line is negative, that means that the line will fall as it moves from left to right, showing that the variables have an inverse relationship.  For example, a line that compares the temperature outside with the amount of time you spend outside will probably have a negative slope.  The colder it gets, the less time you want to spend outside.

These free slope worksheets will help you become an expert at calculating the slope of a line in a variety of different ways.  All worksheets are printable and answers are provided for each of the worksheets.  Good luck!

Slope Worksheets (Graphed Points)

Slope of a Line (Graphed Points) Worksheet 1 - Here is a 9 problem worksheet where you will asked to find the rise and run between two points on a line, then determine the slope of the line.  All of the slopes on this worksheet are positive values.
Slope of a Line Worksheet 1 RTF
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Slope of a Line (Graphed Points) Worksheet 2 - Here is a 9 problem worksheet where you will asked to find the rise and run between two points on a line, then determine the slope of the line.  This worksheets features both positive and negative slopes.
Slope of a Line Worksheet 2 RTF
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Slope of a Line (Graphed Points) Worksheet 3 - Here is a 9 problem worksheet where you will asked to find the rise and run between two points on a line, then determine the slope of the line.  This worksheet includes points that are graphed directly on each axis.
Slope of a Line Worksheet 3 RTF
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Slope of a Line (Graphed Points) Worksheet 4 - Here is a 9 problem worksheet where you will asked to find the rise and run between two points on a line, then determine the slope of the line.  This worksheet includes some points located at the origin of the coordinate graph.
Slope of a Line Worksheet 4 RTF
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Slope of a Line (Graphed Points) Worksheet 5 - Here is a 9 problem worksheet where you will asked to find the rise and run between two points on a line, then determine the slope of the line.  This worksheet introduces horizontal and vertical lines.
Slope of a Line Worksheet 5 RTF
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Slope of a Line (Graphed Points) Worksheet 6 - Here is a 9 problem worksheet where you will asked to find the rise and run between two points on a line, then determine the slope of the line.  This worksheet features graphs that have different scales.
Slope of a Line Worksheet 6 RTF
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Slope Worksheets (Two Points-No Graph)

Finding the Slope of a Line (Given Two Points-No Graph)Worksheet 1 - Here is a ten problem worksheet where you will be asked to calculate the slope of a line. Each exercise feature two points, and you will have to calculate the rise and run between the two points by finding the difference between the x-coordinates and the y-coordinates.
Slope of a Line Worksheet 1 RTF
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Finding the Slope of a Line (Given Two Points-No Graph)Worksheet 2 - Here is another ten problem worksheet where you will be asked to calculate the slope of a line. Each exercise feature two points, and you will have to calculate the rise and run between the two points by finding the difference between the x-coordinates and the y-coordinates.
Slope of a Line Worksheet 2 RTF
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3 Comments

  1. Mr. Colwell

     /  November 20, 2013

    Sure, what type of slope problem is it?

    Reply
  2. Jaden

     /  February 4, 2014

    How can slope be none

    Reply
    • Mr. Colwell

       /  February 10, 2014

      Jaden, a horizontal line will have a slope of zero. The reason for this is that a horizontal line will never “rise”, so it’s rise will be zero. I hope this helps. Thanks for checking in.

      Reply

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