Summary of Week 3
We now summarise all that we have learned:
You have spent a lot of time considering equations which have the form \(y = mx + c\) and now know that these are mathematical representations of straight lines. You have learned about the significance of the numbers \(m\) and \(c\) in equations like this. Particularly, you know that the value of the constant \(m\) is the slope or gradient of the line.
You know that the value of the constant \(c\) tells us where the straight line crosses the vertical axis. You learned how you could find the equation of a line given experimental data which suggested that a straight line relationship between two variables was present. You saw how variables other than \(x\) and \(y\) are used to represent physical quantities in scientific and engineering applications.
Finally, you saw several applications of straight line relationships such as distance-time and speed-time graphs, and Hooke’s Law.
If you have worked consistently through all the resources we have provided during the last three weeks you should be in a good position to now take the Test for this course.
Once you have a good understanding of straight line graphs and their properties you might consider reinforcing this understanding using some of the excellent on-line graphing tools available. Why not explore the excellent set of tools provided free, on-line by Desmos through which you can plot straight line graphs and more complicated curves.
© Tony Croft, Loughborough University 2014