Linear Relations

Consider the following.

a

Which of the following is the graph of a linear relationship?

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A

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B

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C

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A

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B

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C

b

What makes that graph linear, but not the other two?

In a linear relationship, the $y$`y` value is always increasing.

A

In a linear relationship, the $y$`y` value changes at a constant rate.

B

In a linear relationship, the $y$`y` value changes at a faster and faster rate.

C

In a linear relationship, the $y$`y` value is always increasing.

A

In a linear relationship, the $y$`y` value changes at a constant rate.

B

In a linear relationship, the $y$`y` value changes at a faster and faster rate.

C

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Identify, through investigation, properties of the slopes of lines and line segments, using graphing technology to facilitate investigations, where appropriate