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Middle Years

10.04 Horizontal and vertical lines

Worksheet
Horizontal and vertical lines
1

State whether the graphs of the following lines are horizontal or vertical:

a

y = 2

b

x = - 4

c

y = 3

d

x = 17

e

y = 0

f

x = 0

g

y -\dfrac{1}{2} = 0

h

\dfrac{4}{7} = x

2

The table shows some points on the line with equation x = 0.

Does the line x = 0 represent the y-axis or x-axis?

x0000
y-8-146
3

The table shows some points on the line with equation y = 0.

Does the line y = 0 represent the y-axis or x-axis?

x-6-415
y0000
4

Consider the sets of points in the following coordinate planes:

i

State whether the set of points lies on a increasing, decreasing, vertical or horizontal line.

ii

Find the equation of the line that passes through the set of points.

a
-8
-6
-4
-2
2
4
6
8
x
-4
-3
-2
-1
1
2
3
4
y
b
-8
-6
-4
-2
2
4
6
8
x
-8
-6
-4
-2
2
4
6
8
y
5

Consider the graphed line:

a

State the x-intercept.

b

Does this line have a y-intercept?

c

Write down the equation of the line.

-4
-3
-2
-1
1
2
3
4
x
-3
-2
-1
1
2
3
4
y
6

Consider the graphed line:

a

State the y-intercept.

b

Does this line have an x-intercept?

c

Write down the equation of the line.

-4
-3
-2
-1
1
2
3
4
x
-3
-2
-1
1
2
3
4
y
7

For each of the following tables of values:

i

Sketch the graph of the line that passes through the four points.

ii

Find the equation of the line.

a
x2222
y-2-101
b
x-4-202
y5555
8

Plot the following lines on a coordinate plane:

a

y = 8

b

x = 7

c

y = - 2

d

y = 0

9

Find the equation of the following lines:

a
-4
-2
2
4
6
8
10
x
-4
-3
-2
-1
1
2
3
4
y
b
-5
-4
-3
-2
-1
1
2
3
4
5
x
-2
-1
1
2
3
4
5
6
y
c
-6
-5
-4
-3
-2
-1
1
2
x
-4
-3
-2
-1
1
2
3
4
y
d
-3
-2
-1
1
2
3
x
-4
-3
-2
-1
1
2
3
4
y
10

Find the equation of the line given the following conditions:

a

The line is parallel to the x-axis and passes through the point \left(3, - 5 \right).

b

The line is parallel to the y-axis and passes through the point \left( - 8 , 3\right).

c

The line is perpendicular to the x-axis and passes through the point \left(3, - 8 \right).

d

The line is perpendicular to the y-axis and passes through the point \left(3, - 4 \right).

11

The temperature (in degrees Celsius) inside a freezer over a five-hour period was recorded:

\text{Time } (h)012345
\text{Temperature } (T)-9-9-9-9-9-9
a

Sketch the line that passes through each of the pairs of values from the table.

b

Write an equation for the temperature T, at time h.

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