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2.04 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
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
< 1min

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.

Easy
1min

A straight line graph has a positive $y$y-intercept and a positive $x$x-intercept. Which of the following must also be true of the straight line graph?

Easy
< 1min

Select the two points that fill in the gaps to make the statement true.

Easy
2min
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Outcomes

1.1.4

recognise features of the graph of , including its linear nature, its intercepts and its slope or gradient

1.1.5

determine the equation of a straight line given sufficient information; including parallel and perpendicular lines

1.1.6

solve linear equations, including those with algebraic fractions and variables on both sides

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