Question

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Find the slope of the line that passes through (6, 5) and (3, 6).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer 1

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:

slope = (y₂ - y₁) / (x₂ - x₁)

Let's apply this formula to our problem:

slope = (6 - 5) / (3 - 6)
= 1 / (-3)
= -1/ 3

So, the slope of the line that passes through (6, 5) and (3, 6) is -1/3.