topic badge
AustraliaVIC
VCE 11 Methods 2023

1.06 Graphs of linear functions

Interactive practice questions

Examine the graph attached and answer the following questions.

Loading Graph...

In a coordinate plane, a line parallel to the $y$y-axis is called vertical line. It is a straight line which goes from top to bottom and bottom to top. The graph indicates that the line intercepts the x-axis at $1$1. Dont mention the point of intersection when asked about the graph.
a

What is the slope of the line?

$0$0

A

$1$1

B

undefined

C
b

Does this line have a $y$y-intercept?

Yes

A

No

B
c

What is the $x$x-intercept of the line?

Easy
< 1min

What is the gradient of any line parallel to the $x$x-axis?

Easy
< 1min

Plot the graph of the line that has a $y$y-intercept of $-1$1 and whose gradient is $\frac{5}{4}$54.

Easy
< 1min

Plot the graph of the linear equation $8x+2y-16=0$8x+2y16=0 by plotting both the $x$x-intercept, labelled $X$X, and the $y$y-intercept, labelled $Y$Y.

Easy
2min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

U1.AoS1.2

qualitative interpretation of features of graphs of functions, including those of real data not explicitly represented by a rule, with approximate location of any intercepts, stationary points and points of inflection

U1.AoS1.10

sketch by hand graphs of linear, quadratic and cubic polynomial functions, and quartic polynomial functions in factored form (approximate location of stationary points only for cubic and quartic functions), including cases where an x-axis intercept is a touch point or a stationary point of inflection

What is Mathspace

About Mathspace