Succeed with maths – Part 2
Succeed with maths – Part 2

Start this free course now. Just create an account and sign in. Enrol and complete the course for a free statement of participation or digital badge if available.

Free course

Succeed with maths – Part 2

2.1 Negative coordinates

Figure 6 shows the axes extended downward and to the left, to include negative values. The coordinates of the plotted points still have the same configuration, that is, x first, followed by y, and are read in the same way as before. For example, point B is three units to the left of the origin, so its x-coordinate is –3. It is one unit up, so its y-coordinate is 1. So B has coordinates (–3, 1).

Described image
Figure 6 Graph showing negative coordinates

Now it is your turn to try your hand at reading the remaining coordinates from Figure 6 in this first activity of the week.

Activity 1 Reading coordinates

Timing: Allow approximately 5 minutes

Write down the coordinates of points A, C, and D, shown in Figure 6. What are the coordinates of the origin?

Answer

A is opposite 3 on the x-axis, so its x-coordinate is 3. It is opposite 1 on the y-axis, so its y-coordinate is 1. The coordinates of A are (3, 1).

C is opposite -2 on the x-axis, so its x-coordinate is -2. It is also opposite -2 on the y-axis, so its y-coordinate is also -2. The coordinates of C are therefore (-2, -2).

The coordinates of D are (2, -1).

The origin has coordinates (0, 0).

Described image
Figure 7 Graph showing negative coordinates

As well as being able to read coordinates of points on a graph it is also important to be able to plot them yourself, for when you need to draw your own line graph. There is probably not much need for this in your day-to-day life, but many different study areas make use of graphs to show data and relationships. So a good working knowledge of how to construct a graph will stand you in good stead if you continue with your studies in the future.

You’ll look at plotting points in the next section.

Skip Your course resources
SWMB_2

Take your learning further

Making the decision to study can be a big step, which is why you'll want a trusted University. The Open University has 50 years’ experience delivering flexible learning and 170,000 students are studying with us right now. Take a look at all Open University courses.

If you are new to University-level study, we offer two introductory routes to our qualifications. You could either choose to start with an Access module, or a module which allows you to count your previous learning towards an Open University qualification. Read our guide on Where to take your learning next for more information.

Not ready for formal University study? Then browse over 1000 free courses on OpenLearn and sign up to our newsletter to hear about new free courses as they are released.

Every year, thousands of students decide to study with The Open University. With over 120 qualifications, we’ve got the right course for you.

Request an Open University prospectus371