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Objective The student will be able to: find the slope of a line given 2 points and a graph.
Introduction To Slope
What is the meaning of this sign? ,[object Object],[object Object],[object Object],[object Object]
What does the 7% mean? 7% is the slope of the road.  It means the road drops 7 feet vertically for every 100 feet horizontally. So, what is slope??? Slope  is the steepness of a line. 7% 7 feet 100 feet
Finding Slope Given a Graph
When given the graph, it is easier to apply  “ rise over run ”. 1) Determine the slope of the line.
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! 6 3 run 3 6 = = rise Notice the slope is positive AND the line increases!
Determine the slope of the line. The line is decreasing (slope is negative). 2 -1 Find points on the graph.  Use two of them and apply rise over run.
What is the slope of a horizontal line?
What is the slope of a vertical line?
Remember the word “VUXHOY” V ertical lines U ndefined slope X  = number;  This is the equation of the line. H orizontal lines O  - zero is the slope Y  = number;  This is the equation of the line.
Types of Slope Positive Negative Zero Undefined or  No Slope
Dude! You try one.
Determine the slope of the line shown. ,[object Object],[object Object],[object Object],[object Object]
rise = 4 run = 5 m=  rise run m= 4/5
Finding Slope Given 2 points
Find the slope of the  line through the points (3,7) and (5, 19). x 1 y 1 x 2 y 2 m = 19 – 7 5 – 3   m = 12 2 m = 6
Find the slope of the line that passes through the points  (-2, -2) and (4, 1). y 2  = 1 x 2  = 4 y 1  = -2 x 1  = -2
Find the slope of the line that goes through the points (-5, 3) and (2, 1).
The slope of a line that goes through the points (r, 6) and (4, 2) is 4. Find r. To solve this, plug the given information into the formula
To solve for r, simplify and write as a proportion. Cross multiply. 1(-4) = 4(4 – r)
Simplify and solve the equation. 1(-4) = 4(4 – r) -4 = 16 – 4r -16  -16 -20 = -4r -4  -4 5 = r The ordered pairs are (5, 6) and (4, 2)
Dude! You try one.
Find the slope of the line that passes through (3, 5) and  (-1, 4). ,[object Object],[object Object],[object Object],[object Object]
The End

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Finding Slope Given A Graph And Two Points

  • 1. Objective The student will be able to: find the slope of a line given 2 points and a graph.
  • 3.
  • 4. What does the 7% mean? 7% is the slope of the road. It means the road drops 7 feet vertically for every 100 feet horizontally. So, what is slope??? Slope is the steepness of a line. 7% 7 feet 100 feet
  • 6. When given the graph, it is easier to apply “ rise over run ”. 1) Determine the slope of the line.
  • 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! 6 3 run 3 6 = = rise Notice the slope is positive AND the line increases!
  • 8. Determine the slope of the line. The line is decreasing (slope is negative). 2 -1 Find points on the graph. Use two of them and apply rise over run.
  • 9. What is the slope of a horizontal line?
  • 10. What is the slope of a vertical line?
  • 11. Remember the word “VUXHOY” V ertical lines U ndefined slope X = number; This is the equation of the line. H orizontal lines O - zero is the slope Y = number; This is the equation of the line.
  • 12. Types of Slope Positive Negative Zero Undefined or No Slope
  • 14.
  • 15. rise = 4 run = 5 m= rise run m= 4/5
  • 17. Find the slope of the line through the points (3,7) and (5, 19). x 1 y 1 x 2 y 2 m = 19 – 7 5 – 3 m = 12 2 m = 6
  • 18. Find the slope of the line that passes through the points (-2, -2) and (4, 1). y 2 = 1 x 2 = 4 y 1 = -2 x 1 = -2
  • 19. Find the slope of the line that goes through the points (-5, 3) and (2, 1).
  • 20. The slope of a line that goes through the points (r, 6) and (4, 2) is 4. Find r. To solve this, plug the given information into the formula
  • 21. To solve for r, simplify and write as a proportion. Cross multiply. 1(-4) = 4(4 – r)
  • 22. Simplify and solve the equation. 1(-4) = 4(4 – r) -4 = 16 – 4r -16 -16 -20 = -4r -4 -4 5 = r The ordered pairs are (5, 6) and (4, 2)
  • 24.