Topics
6. Relations
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CanadaON
Grade 9

6.04 Linear graphs

Lesson
Worksheet
Practice

Interactive practice questions

Consider the equation $y=2x-4$y=2x−4.

a

Complete the table of values.

$x$x $0$0 $1$1 $2$2 $3$3
$y$y $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
b

Using the table of values, plot the points that correspond to when $x=0$x=0 and $y=0$y=0:

Loading Graph...
c

Using the points plotted above, sketch the line that passes through the two points:

Loading Graph...
Easy
2min

Consider the equation $y=x+9$y=x+9.

Easy
1min

Consider the equation $y=3x+3$y=3x+3.

Easy
1min

Consider the equation $y=-3x-1$y=−3x−1.

Easy
2min
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Outcomes

9.B3.4

Solve problems involving operations with positive and negative fractions and mixed numbers, including problems involving formulas, measurements, and linear relations, using technology when appropriate.

9.C1.3

Compare algebraic expressions using concrete, numerical, graphical, and algebraic methods to identify those that are equivalent, and justify their choices.

9.C3.1

Compare the shapes of graphs of linear and non-linear relations to describe their rates of change, to make connections to growing and shrinking patterns, and to make predictions.

9.C3.2

Represent linear relations using concrete materials, tables of values, graphs, and equations, and make connections between the various representations to demonstrate an understanding of rates of change and initial values.

9.C4.2

Graph relations represented as algebraic equations of the forms x = k, y = k, x + y = k, x – y = k, ax + by = k, and xy = k, and their associated inequalities, where a, b, and k are constants, to identify various characteristics and the points and/or regions defined by these equations and inequalities.

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