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Find the slope of the line that passes through (2, 3) and (8, 8).Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Question

Find the slope of the line that passes through (2, 3) and (8, 8).Simplify your answer and write it as a proper fraction, improper fraction, or integer.

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Solution

The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula:

slope = (y2 - y1) / (x2 - x1)

Here, the two points are (2, 3) and (8, 8). So, x1 = 2, y1 = 3, x2 = 8, and y2 = 8.

Substituting these values into the formula, we get:

slope = (8 - 3) / (8 - 2) = 5 / 6

So, the slope of the line that passes through the points (2, 3) and (8, 8) is 5/6.

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