Understanding Slope in Linear Equations

The video tutorial explains how to verify and interpret the slope of a linear equation that models the change in the number of high school smokers per 100 students from 2011 to 2015. The equation is given in slope-intercept form, and the slope is verified using a table of values. The slope is then interpreted to understand its real-world meaning, indicating a decrease in the number of smokers each year.

What does the variable 'x' represent in the given linear equation?

• The total number of students

• The percentage of students who smoke

• The number of years since 2011

• The number of smokers per 100 students

In the slope-intercept form of a linear equation, what does 'b' represent?

• The y-intercept

• The change in x

• The x-intercept

• The slope of the line

What is the slope of the given equation y = -1.75x + 16?

• 1.75

• -1.75

• -16

• 16

Which ordered pair is derived from the first row of the table?

• (4, 9)

• (1, 15)

• (2, 14)

• (0, 16)

How is the slope calculated using two points?

• Change in y divided by change in x

• Sum of x and y values

• Product of x and y values

• Change in x divided by change in y

What is the calculated slope using the points (0, 16) and (4, 9)?

• -1.75

• 1.75

• 7/4

• -7/4

What does a negative slope indicate in the context of this problem?

• No change in the number of smokers

• A decrease in the number of smokers

• An increase in the number of smokers

• An increase in the number of students

How many students per 100 are decreasing each year according to the slope?

• 2 students

• 0.75 students

• 1 student

• 1.75 students

What does the number 1 in the fraction -1.75/1 represent?

• The y-intercept

• Time in years

• The number of students

• The number of smokers

What is the overall trend in the number of high school smokers per 100 students each year?

• Increasing by 1.75 students

• Decreasing by 1.75 students

• Remaining constant

• Fluctuating randomly