• Mathematics Advanced
  • Year 10

Linear Relationships

approx. 9 hrs

6 topics

21 concepts

Develop an aptitude for Linear Relationships and advance into Year 11 with confidence.

Available in


Linear Relationships is a key component of Year 10 Mathematics Advanced and is aligned with the Australian curriculum. In this program, students learn to graph solutions and equations on a number plane, use algebraic and graphical techniques and explore the connection between graphical and algebraic representations.

Topics & Concepts We Cover

This learning program is made up of the following 6 topics, broken down into 21 concepts.

  • Midpoint, Gradient and Distance using Formulae 4 concepts

    1. Using the Distance formula

    2. Find the midpoint of an interval using the Midpoint formula

    3. Use the angle of inclination to find the gradient of a linear function

    4. Find the gradient of a line between two points using formulae

  • Read Linear Graphs 3 concepts

    1. Determine the gradient and y-intercept from a graph

    2. Reading the x and y intercept from a graph

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

  • Sketch Linear Functions 6 concepts

    1. Match a linear graph with its equation

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

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

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

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

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

  • Equation of a line 4 concepts

    1. Convert between general form and gradient-intercept form of a linear equation

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

    3. Find the equation of a line given two points

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

  • 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

  • Coordinate Geometry Problems 2 concepts

    1. Use coordinate geometry to solve a variety of problems with triangles and quadrilaterals

    2. Show that three given points are collinear

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

Ready to start this program?

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Starting at

$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime

Access to practice questions

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