Home Practice
For learners and parents For teachers and schools
Textbooks
Full catalogue
Leaderboards
Learners Leaderboard Classes/Grades Leaderboard Schools Leaderboard
Pricing Support
Help centre Contact us
Log in

We think you are located in United States. Is this correct?

Chapter summary

Test yourself now

High marks in science are the key to your success and future plans. Test yourself and learn more on Siyavula Practice.

Sign up and test yourself

23.7 Chapter summary

  • An independent variable is not affected by changes in the other variable in a relationship.
  • A dependent variable is influenced by the other variable, and changes depending on the relationship with the other variable.
  • A linear graph (also called a straight-line graph) shows that the relationship between the independent variable and dependent variable is a straight line.
  • For an increasing graph, the dependent variable increases as the independent variable increases.
  • For a decreasing graph, the dependent variable decreases as the independent variable increases.
  • For a constant linear graph, the dependent variable does not change as the independent variable increases.
  • The maximum point on a graph is the point where the dependent variable has the greatest value.
  • The minimum point on a graph is the point where the dependent variable has the smallest value.
  • Discrete data is made up of quantities that have been counted.
  • The plotted points on a discrete graph are not joined by a line.
  • Continuous data is made up of quantities that have been measured.
  • The plotted points on a continuous graph are joined by a line or curve.
  • The Cartesian coordinate system consists of two axes.
  • The \(x\)-axis is a horizontal line at \(y = 0\).
  • The \(y\)-axis is a vertical line at \(x = 0\).
  • The point where the two lines intersect is called the origin, (0; 0).
  • The \(x\)-axis and the \(y\)-axis divide the Cartesian plane into four quadrants.
    • In the first quadrant (I), the values of the \(x\)-axis are positive and the values of the \(y\)-axis are also positive.
    • In the second quadrant (II), the values of the \(x\)-axis are negative and the values of the \(y\)-axis are positive.
    • In the third quadrant (III), the values of the \(x\)-axis are negative and the values of the \(y\)-axis are also negative.
    • In the fourth quadrant (IV), the values of the \(x\)-axis are positive and the values of the \(y\)-axis are negative.
  • An ordered pair consists of an \(x\)-value called the \(x\)-coordinate and a \(y\)-value called the \(x\)-coordinate. Notation: \((x; y)\)