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2.05 Using linear functions

Interactive practice questions

Consider the table of values.

$x$x $9$9 $18$18 $27$27 $36$36
$y$y $-68$68 $-131$131 $-194$194 $-257$257
a

Is $y$y increasing or decreasing?

increasing

A

decreasing

B
b

For every $1$1 unit increase in the $x$x value, by how much does $y$y change?

c

Use your answer to the previous part to state the algebraic rule linking $x$x and $y$y.

Give your answer as an equation.

Easy
2min

Write an equation for $v$v in terms of $u$u.

Easy
1min

Write down the equation of a line whose gradient is $2$2 and crosses the $y$y-axis at $\left(0,1\right)$(0,1).

Express your answer in gradient-intercept form.

Easy
< 1min

A line has gradient $-2$2 and passes through the point $\left(-6,-\frac{4}{3}\right)$(6,43).

Medium
6min
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Outcomes

ACMMM002

examine examples of direct proportion and linearly related variables

ACMMM003

recognise features of the graph of y=mx+c, including its linear nature, its intercepts and its slope or gradient

ACMMM004

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

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