Welcome to Gaston. Destiny Discover Ho_ Epicl - Books for Kids Cool Math Games - XtraMath Clever | Portal While spending time with his extended family, Doug asked his family members for their ages, \( x \), and how many books they had read in the past year, \( y \). Then, he created a scatter plot and drew a line of best fit. The equation for the line of best fit is \( y=-\frac{1}{3} x+22 \). In this context, what does the slope tell you? Getting 3 years older was associated with reading 1 less book per year. Getting 1 year older was associated with reading 3 fewer books per year. Doug's family members tended to read fewer than 22 books. Doug's family members tended to read at least 22 books.

Ah, the slope of a line can tell us so much! In Doug's case, the line of best fit is represented by \( y=-\frac{1}{3} x+22 \). The slope, which is \(-\frac{1}{3}\), indicates that for every increase in age of 3 years (\(x\)), there is a corresponding decrease in the number of books read by 1 (\(y\)). So, if Doug's family ages a bit, they might just be reading a tad less! Now, about that y-intercept! When \(x = 0\) (which might humorously suggest a newborn), the equation suggests that they would read about 22 books. This implies that when they are very young, family members have a high capacity for reading—who knew toddlers could be bookworms? So, no matter how old they get, there’s still hope for a love of books!