Middle Years

Worksheet

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?

x | 0 | 0 | 0 | 0 |
---|---|---|---|---|

y | -8 | -1 | 4 | 6 |

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 | -4 | 1 | 5 |
---|---|---|---|---|

y | 0 | 0 | 0 | 0 |

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

b

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.

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.

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

x | 2 | 2 | 2 | 2 |
---|---|---|---|---|

y | -2 | -1 | 0 | 1 |

b

x | -4 | -2 | 0 | 2 |
---|---|---|---|---|

y | 5 | 5 | 5 | 5 |

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

b

c

d

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) | 0 | 1 | 2 | 3 | 4 | 5 |
---|---|---|---|---|---|---|

\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.

Sign up to access worksheet

Get full access to our content with a Mathspace account.