AC9M8A04

Elaborations

• AC9M8A04_E1using graphing software to investigate the effect of systematically varying parameters of linear functions on the corresponding graphs, making and testing conjectures; for example, making a conjecture that if the co-efficient of x is negative, then the line will slope down from left to right
• AC9M8A04_E2using graphing software to systematically contrast the graphs of y = 2x, -y = 2x, y = -2x and -y = -2x with those of y<2x, -y<2x, y<-2x and -y<-2x and those of y>2x, -y>2x, y>-2x and -y>-2x, making and testing conjectures about sign and direction of the inequality
• AC9M8A04_E3using digital tools to investigate integer solutions to equations such as 2x+3y = 48
• AC9M8A04_E4exploring how linear functions are used in linear regression models as a statistical technique in machine learning of artificial intelligence agents; for example, linear functions are used to model the relationship between input variables and a target variable, to predict stock or house prices in the financial and real-estate sectors