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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.
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