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# Algebra 1 power pointlr

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### Algebra 1 power pointlr

1. 1. Algebra 1<br />Chapter 5<br />
2. 2. Slope<br />Slope is represented by the letter m<br />Rise<br />Run<br />Slope = <br />
3. 3. Where can slope be found in the world?<br />
4. 4. Construction<br />
5. 5. Recreation<br />
6. 6. Sports<br />
7. 7. Engineering<br />
8. 8. Quick Reminder<br />Lines rising from left to right have a positive slope<br />
9. 9. Lines falling from left to right have a negative slope<br />
10. 10. 0 slope<br />
11. 11. No Slope= undefined<br />
12. 12. Finding Slope by counting squares<br />run<br />rise<br />Rise= 3<br />Run= 2<br />3<br />2<br />Slope=<br />
13. 13. Practice<br />What is the slope? <br />Find the slope by counting rise over run.<br />
14. 14. Answer to practice<br />run<br />rise<br />3<br />1<br />Slope=<br />or 3<br />
15. 15. More Practice<br />What is the slope? Count rise over run.<br />
16. 16. Answer<br />5<br />4<br />Slope=<br />-<br />
17. 17. Calculating slope<br />Requires two points (x ,y ) (x ,y )<br />m=<br />2<br />2<br />1<br />1<br />y - y <br />x - x <br />2<br />1<br />2<br />1<br />
18. 18. Example<br />(3, -2)<br />(1, -4)<br />y -y<br />(x ,y )<br />(x ,y )<br />-4-1<br />1-3<br />-5<br />-2<br />5<br />2<br />1<br />2<br />1<br />1<br />2<br />2<br />=<br />=<br />x - x<br />(3 , -2)<br />(1 , -4)<br />1<br />2<br />
19. 19. Slope Intercept Form<br />y= mx+b<br />m= slope<br />b= y intercept<br /> slope y intercept<br />
20. 20. y intercept<br />The y intercept is where the line crosses the <br />y axis. y axis <br />y intercept <br /> y intercept = 2<br /> x axis <br />
21. 21. y intercept<br />y intercepts can be positive<br />or negative numbers <br />y axis<br />x axis<br />y intercept= +1<br />y axis<br />x axis<br />y intercept= -2<br />
22. 22.
23. 23. Graphing Slope Intercept Form<br />Step one: graph y intercept on y axis<br />Step two: from that point use slope to graph second point<br />Step three: connect the points<br />You have now graphed a line using slope-intercept form.<br />
24. 24.
25. 25.
26. 26. Point-slope Form<br />y- y = m(x-x )<br />1<br />1<br />
27. 27. Point slope form requirements<br />You must have one point and the slope of the line in order to write in point-slope form. <br />You then substitute the slope in for the letter m and the numbers from the point in there correct spot.<br />
28. 28.
29. 29. Prentice Hall Algebra I Volume 1 Teacher’s Edition Pearson Education Inc., <br />2011 (p.311). <br />Prentice Hall Algebra I Volume I Teacher’s Edition Teacher Resources Chapter 5, Pearson Education Inc., 2011 (Practice Forms) <br />This citation is for slides (8-28). <br />I <br />