1. Mr. Cole’s Math Page Ordered Pairs Graphing lines by table Graphing lines by y=mx+b NOTE: This tutorial project is a working document. Concepts will be added frequently. For more algebra help go to google.com google.com and type in a search for “interactive algebra help” Questions? Comments? dcole@usd394.comdcole@usd394.com

2. This concept will be well explained when you click on the link to “Math Dork.Com” Enter Home

3. In order to graph by table we need several things: First you need an equation, lets try y=2x-4 Next we need to have a table of values. Click for the table of values. Home

4. In order to graph by table we need several things: First you need an equation, lets try y=2x-4 Next we need to have a table of values. x y= 2x - 4 0 2(0) - 4 = -4 1 2(1) - 4 = -2 2 2(2) - 4 = 0 3 2(3) - 4 = 2 Click to see graph Home

5. Next we will plot the ordered pairs onordered pairs the cartesian coordinate plane. Plotting the points one at a time. x y= 2x - 4 0 2(0) - 4 = -4 1 2(1) - 4 = -2 2 2(2) - 4 = 0 3 2(3) - 4 = 2 Another example See that again (3,2) (2,0) (1,-2) (0,-4) More on this from the internet

6. Next we will plot the ordered pairs onordered pairs the cartesian coordinate plane. Plotting the points one at a time. x y= 2x - 4 0 2(0) - 4 = -4 1 2(1) - 4 = -2 2 2(2) - 4 = 0 3 2(3) - 4 = 2 Another example See that again (0,-4) (1,-2) (2,0) (3,2) More on this from the internet

7. Next we will plot the ordered pairs onordered pairs the cartesian coordinate plane. Plotting the points one at a time. x y= 2x - 4 0 2(0) - 4 = -4 1 2(1) - 4 = -2 2 2(2) - 4 = 0 3 2(3) - 4 = 2 Another example More on this from the internet (0,-4) (1,-2) (2,0) (3,2)

8. This time let’s try the equation y=-3x+5 Again we need a table of values. Next we will plot the ordered pairs onordered pairs the cartesian coordinate plane x y= -3x+5 0 -3(0)+5 = 5 1 -3(1)+5 = 2 2 -3(2)+5 = -1 3 -3(3)+5 = -4 See graph (0,5) (1,2) (2,-1) (3,-4)

9. x y= -3x+5 0 -3(0)+5 = 5 1 -3(1)+5 = 2 2 -3(2)+5 = -1 3 -3(3)+5 = -4 (0,5) (1,2) (2,-1) (3,-4) Plotting the points in red will generate The line Home See that again For more information from the internet

10. x y= -3x+5 0 -3(0)+5 = 5 1 -3(1)+5 = 2 2 -3(2)+5 = -1 3 -3(3)+5 = -4 (0,5) (1,2) (2,-1) (3,-4) Plotting the points in red will generate The line Home For more on this topic From the internet.

11. x y= -3x+5 0 -3(0)+5 = 5 1 -3(1)+5 = 2 2 -3(2)+5 = -1 3 -3(3)+5 = -4 (0,5) (1,2) (2,-1) (3,-4) Plotting the points in red will generate The line Home For more on this topic From the internet.

12. Graphing by y=mx+b m is the slope of the line b is the y-intercept When graphing the line it is important to remember to plot the y-intercept FIRST, then the slope! slope = rise run Review these Concepts Y-intercept means where the line CROSSES the y-axis

13. For example, we want to graph y=(4/3)x-2 The slope is 4/3 (up 4 over 3) The y-intercept is -2 (crosses the y-axis at -2) And remember, y-interceptFirst Graph the ! Up 4 Over 3 Home Another example For Interactive practice from Mr. Bunge

14. Remember the equation was y=(4/3)x-2 The slope is 4/3 (up 4 over 3) The y-intercept is -2 (crosses the y-axis at -2) Up 4 Over 3 For another example For Interactive practice from Mr. Bunge

15. This time lets try to graph y=-3x+2 The slope is -3 (down 3 over 1) The y-intercept is 2 (crosses the y-axis at 2) Down 3 Over 1 Again, graph the y-intercept first ! Home For Interactive practice from Mr. Bunge

16. Remember the equation was y=(4/3)x-2 The slope is 4/3 (up 4 over 3) The y-intercept is -2 (crosses the y-axis at -2) Up 4 Over 3 For another example

17. Click on one of the following to review this concept from the internet. PurpleMath.Com Summary of lines Home Questions? Comments? dcole@usd394.comdcole@usd394.com