NZ Level 5
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Identifying key features of Linear functions

Interactive practice questions

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

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=7y a linear equation?

Outcomes

NA5-9

Relate tables, graphs, and equations to linear and simple quadratic relationships found in number and spatial patterns.

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