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Objective    find the slope of a line given a line  on a graph.  The students will be able to:    find the slope of a line given 2  points on a graph.    find the slope of a line given 1  point and the slope of the graph.
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??? 7 feet 100 feet Slope  is the steepness of a line. 7%
Slope can be expressed differently as: A line has a positive slope if it slopes  uphill from left to right .   A line has a negative slope if it slopes  downhill from left to right .
When given the graph,  it is easier to apply   “ rise over run ” . Determine the slope of the line  given a line on a graph.
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!  the line slopes upward  and to the right 1 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. y 2  is the y coordinate of the 2 nd  ordered pair (y 2  = 1) y 1  is the y coordinate of the 1 st  ordered pair (y 1  = -2)
Did you notice that both previous examples were the same problem written differently? (-2, -2) and (4, 1) Which method do you think is easiest? You can do the problems either way! 6 3
Find the slope of the line that goes through the points (-1, 2) and (1, 4). a. -1 b. 1 c. 2 d. 4
Determine the slope of the line shown. a. -3 b. 3 c. -3/5 d. 3/5
Determine the slope of the line using any two points on the line. The line is decreasing (slope is negative). 5 -2.5 Choose two points on the graph.  Apply rise over run.
What is the slope of a vertical line? ,[object Object],All vertical lines have an undefined slope.
What is the slope of a horizontal line? ,[object Object],All horizontal lines have a slope = 0.
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.
Draw a line through the point (2,0) that has a slope of 3. ,[object Object],1 3 2.  From (2, 0), apply rise over  run (write 3 as a fraction). 3.  Plot a point at this location. ,[object Object],[object Object]
The slope of a line that goes through points (r, 6) and (4, 2) is 4. Find r. To solve this, plug the given information into the formula continued
We must solve for r (x 1 ), simplify  and write as a proportion. x (4 –  r ) multiply each side by the common denominator x (4 –  r ) 16 – 4 r  = -4 continued
Simplify and solve the equation. The ordered pairs are (5, 6) and (4, 2)

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Finding Slope 2009

  • 1. Objective  find the slope of a line given a line on a graph. The students will be able to:  find the slope of a line given 2 points on a graph.  find the slope of a line given 1 point and the slope of the graph.
  • 2.
  • 3. 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??? 7 feet 100 feet Slope is the steepness of a line. 7%
  • 4. Slope can be expressed differently as: A line has a positive slope if it slopes uphill from left to right . A line has a negative slope if it slopes downhill from left to right .
  • 5. When given the graph, it is easier to apply “ rise over run ” . Determine the slope of the line given a line on a graph.
  • 6. 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! the line slopes upward and to the right 1 2
  • 7. 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. y 2 is the y coordinate of the 2 nd ordered pair (y 2 = 1) y 1 is the y coordinate of the 1 st ordered pair (y 1 = -2)
  • 8. Did you notice that both previous examples were the same problem written differently? (-2, -2) and (4, 1) Which method do you think is easiest? You can do the problems either way! 6 3
  • 9. Find the slope of the line that goes through the points (-1, 2) and (1, 4). a. -1 b. 1 c. 2 d. 4
  • 10. Determine the slope of the line shown. a. -3 b. 3 c. -3/5 d. 3/5
  • 11. Determine the slope of the line using any two points on the line. The line is decreasing (slope is negative). 5 -2.5 Choose two points on the graph. Apply rise over run.
  • 12.
  • 13.
  • 14. 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.
  • 15.
  • 16. The slope of a line that goes through points (r, 6) and (4, 2) is 4. Find r. To solve this, plug the given information into the formula continued
  • 17. We must solve for r (x 1 ), simplify and write as a proportion. x (4 – r ) multiply each side by the common denominator x (4 – r ) 16 – 4 r = -4 continued
  • 18. Simplify and solve the equation. The ordered pairs are (5, 6) and (4, 2)