Find the slope of the line that passes through (1, 8) and (4, 9).
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) is given by the formula:
slope = (y₂ - y₁) / (x₂ - x₁)
For the given points (1, 8) and (4, 9), the coordinates are (x₁, y₁) = (1, 8) and (x₂, y₂) = (4, 9). Substituting these values into the slope formula:
slope = (9 - 8) / (4 - 1)
= 1 / 3
Therefore, the slope of the line that passes through (1, 8) and (4, 9) is 1/3.