Mr. Cole

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Mr. Coles Math Page

• Ordered Pairs
• Graphing lines by table
• Graphing lines by ymxb

NOTE This tutorial project is a working
document. Concepts will be added
frequently.
For more algebra help go to google.com
and type in a search for interactive algebra
help
Questions? Comments? dcole_at_usd394.com
2
This concept will be well explained when you
click on the link to Math Dork.Com

• Enter

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3

• In order to graph by table we need several
  things
• First you need an equation, lets try y2x-4
• Next we need to have a table of values.
• Click for the table of values.

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• In order to graph by table we need several
  things
• First you need an equation, lets try y2x-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
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Plotting the points one at a time.





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





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





x y 2x - 4
(3,2)
0 2(0) - 4 -4
(2,0)
1 2(1) - 4 -2
2 2(2) - 4 0
(1,-2)
3 2(3) - 4 2
(0,-4)
Next we will plot the ordered pairs on the
cartesian coordinate plane.
Another example
More on this from the internet
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• This time lets try the equation y-3x5
• Again we need a table of values.

(0,5)





x y -3x5
(1,2)
0 -3(0)5 5
1 -3(1)5 2
(2,-1)
2 -3(2)5 -1
3 -3(3)5 -4
(3,-4)
Next we will plot the ordered pairs on the
cartesian coordinate plane
See graph
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Plotting the points in red will generate
The line
(0,5)





x y -3x5
(1,2)
0 -3(0)5 5
1 -3(1)5 2
(2,-1)
2 -3(2)5 -1
3 -3(3)5 -4
(3,-4)
See that again
Home
For more information from the internet
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Plotting the points in red will generate
The line
(0,5)





x y -3x5
(1,2)
0 -3(0)5 5
1 -3(1)5 2
(2,-1)
2 -3(2)5 -1
3 -3(3)5 -4
(3,-4)
For more on this topic From the internet.
Home
11
Plotting the points in red will generate
The line
(0,5)





x y -3x5
(1,2)
0 -3(0)5 5
1 -3(1)5 2
(2,-1)
2 -3(2)5 -1
3 -3(3)5 -4
(3,-4)
For more on this topic From the internet.
Home
12
Graphing by ymxb
m is the slope of the line
b is the y-intercept
Review these Concepts

• slope rise
• run

• Y-intercept means where the line CROSSES the
  y-axis

• When graphing the line it is important to
  remember
• to plot the y-intercept FIRST, then the
  slope!

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For example, we want to graph y(4/3)x-2
The slope is 4/3 (up 4 over 3)
Over 3
Up 4
The y-intercept is -2 (crosses the y-axis at -2)
Graph the
And remember,
!
y-intercept
First
Another example
For Interactive practice from Mr. Bunge
Home
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Remember the equation was y(4/3)x-2
The slope is 4/3 (up 4 over 3)
Over 3
Up 4
The y-intercept is -2 (crosses the y-axis at -2)
For another example
For Interactive practice from Mr. Bunge
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This time lets try to graph y-3x2
The slope is -3 (down 3 over 1)
Down 3
The y-intercept is 2 (crosses the y-axis at 2)
Over 1
Again, graph the y-intercept first !
For Interactive practice from Mr. Bunge
Home
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Remember the equation was y(4/3)x-2
The slope is 4/3 (up 4 over 3)
Over 3
The y-intercept is -2 (crosses the y-axis at -2)
Up 4
For another example
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Click on one of the following to review this
concept from the internet.
Summary of lines
PurpleMath.Com
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Questions? Comments? dcole_at_usd394.com