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Maximize Slope

Directions: Given the point (3,5), use digits 1-9, at most one time, to find a point (__, __) that maximizes the slope of the line that passes through the two points. The slope cannot be undefined.



How is the steepness of a line determined? How do we calculate slope between two points? Explain which of the two slopes are steeper 1/9 or 9/1?
Can you find another point?



Points that maximize the slope: (4,9) and (2,1)

Source: Andrew Constantinescu

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    • Mashrura Choudhury

      How did you get this answer? I have a similar question but instead with the digits (2,5) and I have no idea how to solve it.

      • (2,5) would give you a slope of zero when paired with the given point (3,5). I approached this by trying to find a y-value that has the greatest distance from 5 and the x-value that is closest to 3.

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