Metro Department Store's annual sales (in millions of dollars) during 5 years were Plot the annual sales (y) versus the year (x) and draw a straight line L through the points corresponding to the first and fifth years and derive an equation of the line L.

Question

Metro Department Store's annual sales (in millions of dollars) during 5 years were  Plot the annual sales (y) versus the year (x) and draw a straight line L through the points corresponding to the first and fifth years and derive an equation of the line L.

Quizplus · Accepted Answer

- Plotting the given data points and drawing a line through the first and fifth years, we get a linear trend.
- The equation of a straight line can be given as y = mx + b, where m is the slope and b is the y-intercept.
- We can find the slope using the formula: m = (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are two points on the line.
- Here, (x1,y1) = (1,11) and (x2,y2) = (5,11), so m = (11-11)/(5-1) = 0.
- Since the slope is 0, the line is horizontal and the equation is y = b, where b is the y-intercept.
- We can find the y-intercept by substituting any point on the line into the equation y = b. Using (1,11), we get:

11 = b

- Therefore, the equation of the line is y = 11.

Metro Department Store's Annual Sales (In Millions of Dollars) During