What is the slope of the line that passes through the points left bracket, 0, comma, 0, right bracket(0,0) and left bracket, 0, comma, 5, right bracket(0,5)? Write your answer in simplest form.
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:
m = (y₂ - y₁) / (x₂ - x₁)
In this case, the points are (0,0) and (0,5). Substituting these values into the formula:
m = (5 - 0) / (0 - 0)
Since the denominator is zero, the slope is undefined.