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

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

Easy

Less than a minute

The diagram shows the graph of a straight line with positive slope.

Which of the following statements are true of this graph? Select all the correct options.

On which of the following graphs is the linear function decreasing?

Is the equation $x=7y$`x`=7`y` a linear equation?

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