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?

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

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

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 (0) - 4 = (1) - 4 = (2) - 4 = 0 3 2(3) - 4 = 2 Click to see graph Home

Next we will plot the ordered pairs onordered pairs the cartesian coordinate plane. Plotting the points one at a time. x y= 2x (0) - 4 = (1) - 4 = (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

Next we will plot the ordered pairs onordered pairs the cartesian coordinate plane. Plotting the points one at a time. x y= 2x (0) - 4 = (1) - 4 = (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

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

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 (0)+5 = (1)+5 = (2)+5 = (3)+5 = -4 See graph (0,5) (1,2) (2,-1) (3,-4)

x y= -3x (0)+5 = (1)+5 = (2)+5 = (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

x y= -3x (0)+5 = (1)+5 = (2)+5 = (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.

x y= -3x (0)+5 = (1)+5 = (2)+5 = (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.

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

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

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

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

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

Click on one of the following to review this concept from the internet. PurpleMath.Com Summary of lines Home Questions? Comments?