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Similar to Finding the slope of a line edmodo
Finding the slope of a line edmodo
- 1. POD 7 Jan •Create a slope Circle Map Slope
- 2. Definitions of Slope •The tilt, inclination or steepness of a line • The ratio of vertical change (rise) to horizontal change (run). • The change in y (rise) over the change in x (run)
- 3.
- 4. Vertical Change Horizontal Change This ratio is also known as Rise Run
- 5. How many pointsdo you need to draw a line? • One • Two • Three
- 6. Graph (3,2) and(-1,-1)
- 7. Draw a linethrough the points.
- 8. Now that wehave our line lets find its slope. Remember we are finding the following ratio: Vertical or Rise Horizontal Run
- 9. Vertical Change orthe Rise 3
- 10. Horizontal Change or the Run 4 3
- 11. Vertical Rise Horizontal Run 3 4
- 12. Find the slopeof the following line.
- 13. The slope is… 1 2
- 14. Find the slopeof the line.
- 15.
- 16. Find the slopeof these lines.
- 17. The slope is… •Black line 3 • Red Line 1 • Blue Line -1/2
- 18. Find the slopeof these lines
- 19. The slope is… •Orange line 0 • Green Line Undefined
- 20. Slope Intercept Real Life Example 1 • Oranges from Florida cost $2 per pound. Let y represent the total cost and x represent the number of pounds of oranges. Create a table, then write a linear equation to find the total cost. • Total cost = $2 times the number of pounds • y = 2x
- 21. Florida Oranges • y= 2x • What is the cost for 2 pounds? • 10 pounds?
- 22. Slope Intercept Real Life Example 2 • Eileen’s limousine service charges a flat fee of $5 plus $10 per hour. Let y represent the total cost and x represent the number of hours. Write a linear equation to find the total cost. • Total cost = $10 times the number of hours + flat fee • y = 10x + 5
- 23. Eileen’s Limousine Service •y = 10x + 5 • What is the cost for 1 hour? • 4 hours?
- 24. Intercepts x-intercept is the y-intercept is point the line the point the meets the x-axis line meets the y-axis x-intercept = 7 y-intercept = 5
- 25. Slope-Intercept Form • Slope-interceptform of an equation assigns meaning to each variable. • y = mx +b • In which m represents slope and b represents your y-intercept.
- 26. Slope-intercept y = mx + b Slope y-intercept
- 27. Slope-Intercept Form • Tograph this equation first find and plot your y-intercept. • Use your slope to locate a second point. • Lastly draw a line through your two points.
- 28. slope-intercept equation . . . . y-intercept (b) = -2 .