Question 266106
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 = {{{(y2-y1)/(x2-x1)}}}
Assign the given values as follows
x1 = 1991; y1 = 230
x2 = 1997; y2 = 350
The slope
m = {{{(350-230)/(1997-1991)}}} = {{{120/6}}} = 20 is the slope
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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
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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