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DIRECTIONS: Use this information to answer Parts A and B.

For the table of data, compare the two lines of fit.
X
y
2
4 6 8
100 85 92 83
y = -2x +99
y = -2x + 100.5

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Answer:

To compare the two lines of fit in the given table of data, we need to examine their equations. The equations for the lines of fit are: 1. y = -2x + 99 2. y = -2x + 100.5 Both equations are in the form of y = mx + b, where m represents the slope of the line and b represents the y-intercept. Comparing the slopes: 1. The slope of the first line is -2. 2. The slope of the second line is also -2. Since both lines have the same slope, it means they have the same steepness or inclination. This suggests that for every 1 unit increase in x, there will be a 2 unit decrease in y for both lines. Comparing the y-intercepts: 1. The y-intercept of the first line is 99. 2. The y-intercept of the second line is 100.5. The y-intercept represents the value of y when x is equal to 0. Since the y-intercepts of the two lines are different, it means they have different starting points on the y-axis. In summary, both lines have the same slope (-2) but different y-intercepts. This indicates that they have the same steepness but start at different points on the y-axis.

Explanation:

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