Question

part 3 of 4
(c) what is the slope of the line and what does it mean in the context of this problem?
the slope is 9.6.
the amount spent per person on video games increased by an average rate of $9.6 per year.
part: 3 / 4
part 4 of 4
(d) what is the y - intercept and what does it mean in the context of this problem?
write the intercept as an ordered pair.
the y - intercept is
the y - intercept means that the average amount spent on video games per person was $ at the start of the study (year)

Explanation:

Step1: Recall the concept of y - intercept

The equation of a line in slope - intercept form is $y = mx + b$, where $b$ is the y - intercept (the value of $y$ when $x = 0$). In the context of a linear model for the amount spent per person on video games over time, if $x$ represents the number of years since the start of the study, when $x = 0$ (the start of the study), the y - intercept gives the initial amount spent per person on video games. But we are not given the full equation or enough data to calculate the exact value of the y - intercept. However, if we assume the general form of the linear relationship and based on the context, the ordered - pair for the y - intercept is of the form $(0,b)$.

Answer:

The y - intercept is $(0,b)$ (where $b$ is the initial amount spent per person on video games at the start of the study, value not given in the problem); The y - intercept means that the average amount spent on video games per person was $b$ at the start of the study (year $x = 0$).