What is the slope of the line that passes through the points left bracket, 6, comma, 2, right bracket(6,2) and left bracket, minus, 18, comma, 2, right bracket(−18,2)? Write your answer in simplest form.
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) can be determined using the formula:
slope = (y₂ - y₁) / (x₂ - x₁)
In this case, the two points are (6,2) and (-18,2). Substituting the values into the formula, we get:
slope = (2 - 2) / (-18 - 6) = 0 / -24 = 0
Therefore, the slope of the line passing through these two points is 0.