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Given points (5, 2) and (6, 10)
Let (x1, y1) = (5, 2) and (x2, y2) = (6, 10)
Using the slope formula, we get:
Slope = (y2 - y1) / (x2 - x1)
Slope = (10 - 2) / (6 - 5)
Slope = 8 / 1
Slope = 8
Therefore, the slope that passes through points (5, 2) and (6, 10) is 8.