What is the slope of the line that passes through the points left bracket,(1,6) and (1,31)? Write your answer in simplest form.
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) can be calculated using the formula:
slope = (y₂ - y₁) / (x₂ - x₁)
Substituting the given points into the formula, we have:
slope = (31 - 6) / (1 - 1)
Since both x-coordinates are the same, the denominator becomes 0. Division by 0 is undefined, so the slope of the line passing through the given points is undefined.