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VCE 11 Methods 2023

1.07 Linear applications

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

Find the equation of the line through $\left(2,7\right)$(2,7) that is parallel to the $y$y-axis.

Easy
1min

Find the equation of the line through $\left(3,5\right)$(3,5) that is parallel to the $x$x-axis.

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
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Outcomes

U1.AoS2.4

use of parameters to represent families of functions and determination of rules of simple functions and relations from given information

U1.AoS3.1

average and instantaneous rates of change in a variety of practical contexts and informal treatment of instantaneous rate of change as a limiting case of the average rate of change

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