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Finding the Slope of a Line - Concept and Examples

This lesson teaches students how to find the slope of a line using the rise over run method and the formula when given two points. Examples and practice problems are provided.

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Finding the Slope of a Line - Concept and Examples

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  1. ObjectiveThe student will be able to: find the slope of a line given 2 points and a graph. SOL: A.7 Designed by Skip Tyler, Varina HS and Vicki Hiner, Godwin HS

  2. Finding the slope of a line… Unit 5

  3. What is the meaning of this sign? • Icy Road Ahead • Steep Road Ahead • Curvy Road Ahead • Trucks Entering Highway Ahead

  4. 7% is the slope of the road. It means the road drops 7 feet vertically for every 100 feet horizontally. 7 feet 7% 100 feet What does the 7% mean? So, what is slope??? Slope is the steepness of a line.

  5. Slope can be expressed different ways: A line has a positive slope if it is going uphill from left to right. A line has a negative slope if it is going downhill from left to right.

  6. 1) Determine the slope of the line. When given the graph, it is easier to apply “rise over run”.

  7. Determine the slope of the line. Start with the lower point and count how much you rise and run to get to the other point! rise 3 = = run 6 6 3 Notice the slope is positive AND the line increases!

  8. 2) Find the slope of the line that passes through the points (-2, -2) and (4, 1). When given points, it is easier to use the formula! y2 is the y coordinate of the 2nd ordered pair (y2 = 1) y1 is the y coordinate of the 1st ordered pair (y1 = -2)

  9. 6 3 Did you notice that Example #1 and Example #2 were the same problem written differently? (-2, -2) and (4, 1) You can do the problems either way! Which one do you think is easiest?

  10. Find the slope of the line that passes through (3, 5) and (-1, 4). • 4 • -4 • ¼ • - ¼

  11. 3) Find the slope of the line that goes through the points (-5, 3) and (2, 1).

  12. Determine the slope of the line shown. • -2 • -½ • ½ • 2

  13. Determine the slope of the line. Find points on the graph. Use two of them and apply rise over run. -1 2 The line is decreasing (slope is negative).

  14. What is the slope of a horizontal line? All horizontal lines have a slope of 0. The line doesn‘t rise!

  15. What is the slope of a vertical line? All vertical lines have an undefined slope. The line doesn‘t run!

  16. Draw a line through the point (2,0) that has a slope of 3. 1 3 1. Graph the ordered pair (2, 0). 2. From (2, 0), apply rise over run (write 3 as a fraction). 3. Plot a point at this location. 4. Draw a straight line through the points.

  17. Here is your challenge question…

  18. Good Job!

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