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T-CHARTS & GRAPHING

Math 8

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The slope of the line is

 

 

 

 

 

 

 

 

 

Graph the points

 

The line is

Horizontal

Form a line through

the points using a ruler

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The slope of the line is

 

 

 

 

 

 

 

 

 

Graph the points

The line is

Vertical

Form a line through

the points using a ruler

Undefined

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Write 3 points that will be on the line, and then graph the line from the points.

 

 

 

 

The slope of the line is

The line is

horizontal / vertical

Undefined

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Write 3 points that will be on the line, and then graph the line from the points.

 

 

 

 

The slope of the line is

The line is

horizontal / vertical

 

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When all of the x-coordinates are the same it forms a vertical line

When all of the y-coordinates are the same it forms a horizontal line

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Horizontal Lines

- have a slope of 0

- all the x-coordinates are

the same number

- will cross the x-axis

 

Vertical Lines

- have an undefined slope

- all the y-coordinates are

the same number

- will cross the y-axis

 

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Now that you know the pattern, you can use it as a shortcut. Graph the following equations.

 

 

go to −1 on the x-axis,

draw a vertical line

go to 3 on the y-axis,

draw a horizontal line

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Now that you know the pattern, you can use it as a shortcut. Graph the following equations.

 

 

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Not all equations produce horizontal and vertical lines.

We use T-Charts to obtain points to assist with graphing.

T-charts

 

- when choosing x-values

- one must be a negative number

- one must be zero

- one must be a positive number

- if an equation has both

x and y variables in it,

the line goes diagonally

- find the slope of the line

 

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Create a T-Chart for the following equations

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Notice how the y-values can get large

depending on the x-values chosen

Notice how the y-values will not be whole numbers when certain x-values are chosen

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Create a T-Chart for the following equations

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Create a T-Chart with 5 ordered pairs

that would have a slope of 1

Notice how the change in y-values must be the same

as the change in x-values to obtain the correct slope

 

 

 

 

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Create the following tables and graph each equation. Identify the slope for each equation.

 

 

 

 

 

 

 

 

 

 

 

 

 

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Create the following tables and graph each equation. Identify the slope for each equation.

 

 

 

 

 

 

 

 

 

 

 

 

 

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Create the following tables and graph each equation. Identify the slope for each equation.

 

 

 

 

 

 

 

 

 

 

 

 

 

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Create the following tables and graph each equation. Identify the slope for each equation.

 

 

 

 

 

 

 

 

 

 

 

 

 

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Did you notice a pattern between the slope and the equation?

 

 

 

 

 

 

 

 

The slope is the number in front of the x in the equation as long as y is on a side by itself

1

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