• Mathematics
  • Year 9

Linear Relationships

approx. 10 hrs

6 topics

22 concepts

Master Linear Relationships and establish the right foundations for Year 10

Available in


Linear Relationships investigates the relationship between two variables by examining the algebraic and graphical form of a straight line. In this learning program, students calculate the gradient of a line and evaluate the impact of its value on the algebraic and graphical form of a linear relationship. Students draw a linear relationship on the Cartesian plane using a table of values and communicate the similarities and differences between two or more straight lines.

Topics & Concepts We Cover

This learning program is made up of the following 6 topics, broken down into 22 concepts.

  • Interpret and Graph Straight Lines 6 concepts

    1. Sketch a linear graph using the coordinates of two points i.e. x and y-intercepts if possible

    2. Form of a vertical line including the equation of the y-axis

    3. Form of a horizontal line including the equation of the x-axis

    4. Finding the x - intercept at y=0

    5. Sketch a linear relationship from a table of values on a cartesian plane

    6. Finding the y - intercept at x=0

  • Gradient of a Line 5 concepts

    1. Connection between gradient, rate problems and direct proportion

    2. Classify the nature of a gradient from a linear function

    3. Determine the gradient and y-intercept using the gradient-intercept form of a linear relationship

    4. Use the gradient and y-intercept to graph a linear equation

    5. Find the gradient of a line between two points using rise over run

  • Determine Equation of a Line 5 concepts

    1. Match a linear graph with its equation

    2. Determine whether a point lies on a line by substitution

    3. Find the equation of a line given the gradient and the y-intercept

    4. Finding the equation of a line given a point and the gradient

    5. Reading the x and y intercept from a graph

  • Midpoint and Length of an Interval 2 concepts

    1. Calculating the 'mean' to find the midpoint, M, of the interval

    2. Using Pythagoras' theorem to calculate distance between two points

  • Parallel and Perpendicular Lines 2 concepts

    1. Apply the property that perpendicular lines have gradients that are negative reciprocals of each other

    2. Apply the property that parallel lines have equal gradients

  • Apply Linear Relationships 2 concepts

    1. Solve practical problems involving linear relationships

    2. Solve linear simultaneous equations by finding the point of intersection of their graphs

What you'll get

Learning Content

  • A customised learning plan to suit your needs, adapting to your pace as you learn, progress and achieve mastery
  • All the content required to help you master the syllabus, including theory, worked examples, exam preparation and practice questions

An Expert Tutor

  • We match you to a private, expert tutor who is right for your needs and goals
  • Our tutors are talented, tested, top ATAR achievers and subject experts
  • During each session, your tutor guides you through your learning program, providing real-time, live expert tutoring in Linear Relationships


  • Access information at every stage showing what's been mastered, what areas need to be worked on and what's next
  • You and your parents receive a comprehensive feedback report after every session
  • Every session is recorded and available for you to watch at any time, allowing you to review what was covered

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Starting at

$49(inc. GST)

per session

Fully flexible

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Access to practice questions

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