Final answer:
The relation y=4x-8 is a linear equation with 'y' as the dependent variable and 'x' as the independent variable. It follows the standard format, is graphically represented by a straight line, and can model real-world relationships between two variables.
Step-by-step explanation:
The relation given is y=4x-8, which is a linear equation. In this equation, 'y' is the dependent variable and 'x' is the independent variable. The form of the equation follows the standard linear equation format, y = mx + b, where 'm' is the slope and 'b' is the y-intercept.
When we express equations graphically, each point on the line represents a solution to the equation. For instance, if 'x' is 0, then 'y' would be -8, providing the point (0, -8) on the graph, which is the y-intercept. Similarly, for 'x' equals 1, 'y' would be -4, resulting in the point (1, -4).
In real-world scenarios, the relationship between two variables can often be modeled by linear equations. For example, if the number of flu cases depends on the year, the year is the independent variable and the number of flu cases is the dependent variable - this relationship can potentially be represented by a linear equation if the increase or decrease in cases follows a straight line pattern when graphed.