Features of linear relationships
I can recognise that linear relationships have particular algebraic and graphical features as a result of the constant rate of change.
Features of linear relationships
I can recognise that linear relationships have particular algebraic and graphical features as a result of the constant rate of change.
Lesson details
Key learning points
- A linear graph can be described by its features.
- All the coordinates on the line fit the relationship.
- The relationship between the coordinates can be described algebraically.
- These linear relationships have particular features.
- You can move between the algebraic statement and the graphical representation and back using coordinates.
Common misconception
Only equations in the form $$y=mx+c$$ are linear. All equations are linear.
There are many forms that linear equations can take, however they always share a common feature. The variables have exponents of $$1$$.
Keywords
Linear - The relationship between two variables is linear when they change together at a constant rate and form a straight line when plotted.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
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Starter quiz
6 Questions
Exit quiz
6 Questions
$$(3,12)$$ -
$$y=5x-3$$
$$(3,-12)$$ -
$$y=3-5x$$
$$(6,-3)$$ -
$$y = {1\over 3}x-5$$
$$(6,10)$$ -
$$y = {5x\over 3}$$
$$(8,1)$$ -
$$5y=x-3$$