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Find the slope of the line that passes through the following points. (6 points;2 points each) A (10,4) and B (-2,-5) C (-7,1) and (7,8) E (4,1⅔) and F (-2,⅔)

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Final answer:

The slope of the line passing through the points (1, 0.1) and (7, 26.8) is calculated using the slope formula, resulting in a slope of 4.45, so the correct answer is b. 4.5.

Step-by-step explanation:

To find the slope of a line passing through two points, you use the formula m = (y2 - y1) / (x2 - x1), where m is the slope, (x1, y1) are the coordinates of the first point, and (x2, y2) are the coordinates of the second point. Applying this formula to the given points (1, 0.1) and (7, 26.8), we calculate the slope as follows:

m = (26.8 - 0.1) / (7 - 1) = 26.7 / 6 = 4.45

Therefore, the correct answer is b. 4.5.

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