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6.02 Visualising a table of values

Worksheet
Table of values
1

For each of the following linear equations, complete a table of values of the form:

x1234
y
a
y = 7 x
b
y = x + 8
c
y = 2x - 6
d
y = \dfrac{x}{4}
e
y = 5x + 1
f
y = -3x
g
y = \dfrac{2x}{3}
h
y = 10 - 4x
2

For each of the following linear equations, complete a table of values of the form:

x-3-2-10123
y
a
y = 4 x
b
y = x + 3
c
y = 2x + 1
d
y = \dfrac{x}{5}
e
y = -x + 2
f
y = -2x + 5
g
y = 3x - 4
h
y = 9 - 2x
Plot points
3

For each of the following equations:

i

Complete the table of values.

ii

Plot the points from the table on a coordinate plane.

iii

State whether the relationship is linear or non-linear.

a

y = 2 x

x-1012
y
b

y = 3 x + 4

x-1012
y
c

y = - x + 2

x-1012
y
d

y = - 4 x + 5

x-1135
y
e

y = 2 x - 4

x-2024
y
f

y = -4 x -1

x-1012
y
4

Consider the equation y = \dfrac{3 x}{2} - 2.

a

Complete the table of values.

b

Plot the points from the table on a coordinate plane.

x-1012
y
Graph lines
5

Consider the equation y = - 3 x.

a

Complete the table of values.

b

Use the two points where x = - 1 and x = 1 to sketch the graph of the line.

c

Does the point \left(0, 0\right) lie on this line?

x-1012
y
6

Consider the equation y = 4 x + 5.

a

Complete the table of values.

b

Use the two points where x = - 1 and x = 1 to sketch the graph of the line.

c

Does the point \left(2, 13\right) lie on this line?

x-1012
y
7

For each of the following equations:

i

Complete the table of values.

ii

Use the two points where x = - 1 and x = 1 to sketch the graph of the line.

x-1012
y
a

y = - 2 x + 11

b

y = \dfrac{5 x}{2} - 3

8

For each of the following linear equations:

i

Complete the table of values.

ii

Use the two axes intercepts, where x = 0 and y=0, to sketch the graph of the line.

a

y = 2 x - 4

x0123
y
b

y = - 2 x + 4

x0123
y
c

y = \dfrac{x}{3} -2

x0246
y
d

y = \dfrac{5 x}{3} - 5

x0369
y
9

For each of the following linear equations:

i

Complete the table of values.

ii

Sketch the graph of the line.

a

y = x + 4

x-1012
y
b

y = 2 x + 4

x-1012
y
c

y = - 2 x - 2

x-3036
y
d

y = 2 x - 3

x-50510
y
e

y = - \dfrac{3 x}{2} + 6

x-10135
y
f

y = \dfrac{x}{5} + 2

x-50510
y
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Outcomes

MA4-11NA

creates and displays number patterns; graphs and analyses linear relationships; and performs transformations on the Cartesian plane

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