 Middle Years

# 10.02 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:

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:

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

b

y = 3 x + 4

c

y = - x + 2

d

y = - 4 x + 5

e

y = 2 x - 4

f

y = -4 x -1

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.

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?

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?

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.

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

b

y = - 2 x + 4

c

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

d

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

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

b

y = 2 x + 4

c

y = - 2 x - 2

d

y = 2 x - 3

e

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

f

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