SOLUTION: a. What is the slope of the line of best fit? Use the points (1991, 230) and (1997,350). Show your work. b. What is an equation for the line of best fit? Use the point (1991,230)

Algebra ->  Coordinate-system -> SOLUTION: a. What is the slope of the line of best fit? Use the points (1991, 230) and (1997,350). Show your work. b. What is an equation for the line of best fit? Use the point (1991,230)      Log On


   

Question 266106: a. What is the slope of the line of best fit? Use the points (1991, 230) and (1997,350). Show your work.
b. What is an equation for the line of best fit? Use the point (1991,230). Show your work.
c. According to your equation, what were the sales in 2000? Show your work. (5 points) (Points :5)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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a. What is the slope of the line of best fit? Use the points (1991, 230) and (1997,350). Show your work.
Use the slope formula: m = %28y2-y1%29%2F%28x2-x1%29
Assign the given values as follows
x1 = 1991; y1 = 230
x2 = 1997; y2 = 350
The slope
m = %28350-230%29%2F%281997-1991%29 = 120%2F6 = 20 is the slope
"
b. What is an equation for the line of best fit? Use the point (1991,230).
Use the point/slope formula y - y1 = m(x - x1)
y - 230 = 20(x - 1991)
y - 230 = 20x - 39820
y = 20x - 39820 + 230
y = 20x - 39590; is the equation
:
c. According to your equation, what were the sales in 2000?
Substitute 2000 for x in the above equation
y = 20(2000) - 39590
y = 4000 - 39590
y = 410; sales in 2000