Find the slope of the line that passes through (7, 4) and (1, 5).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
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)
Given the points (7, 4) and (1, 5), we can substitute the values into the formula:
slope = (5 - 4) / (1 - 7)
Simplifying the numerator and denominator:
slope = 1 / (-6)
Final answer:
slope = -1/6