Linear Relationships B

Linear relationships B | NSW Curriculum Website

MA5-LIN-C-02 graphs and interprets linear relationships using the gradient/slope-intercept form

📖 Prior Knowledge

Content	Prerequisite relationships
Represents Numbers A	- Approximate decimals to a given number of places → Solve real-life linear relationship problems
Equations	- Solve 2-step linear equations → Solve real-life linear relationship problems - Solve equations with a negative coefficient of x → Rearrange a linear equation to gradient-intercept form
Linear Relationships	- Graph a linear relationship → Solve real-life linear relationship problems - Graph a linear relationship → Interpret gradient–intercept form - Solve real-life linear relationship problems (revisited content)
Linear Relationships A	- Relate parallel lines to equal gradients → Find equations of parallel and perpendicular lines

Interpret the coefficient of $x$ ( $m$ ) as the gradient/slope, and the constant ( $c$ ) as the $y$ -intercept for equations of the form $y = m x + c$
Find the equation of a straight line in the form $y - m x + c$ , given the gradient/slope and the $y$ -intercept of the line
Graph equations of the form $y = m x + c$ by using the gradient and the $y$ -intercept
Determine the gradient and $y$ -intercept of a straight line from its graph and apply these values to determine the equation of the line
Explain the effect of increasing or decreasing the gradient with or without digital tools
Recognise and describe linear relationships in real-life contexts

Explain that 2 straight lines are perpendicular if the product of their gradients is −1
Find the equation of a straight line that is parallel or perpendicular to another given line by applying $y = m x + c$