segment XY represents the path of an airplane that passes through the cordinates (3,5) and (12, - 1). What is the slope of a line that represents the path of another airplane that is traveling parre; to the first airplane?
To find the slope of a line parallel to the path of the first airplane, we need to find the slope of the line passing through the given coordinates (3, 5) and (12, -1).
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:
slope = (y₂ - y₁) / (x₂ - x₁)
Substituting the values for the given coordinates:
slope = (-1 - 5) / (12 - 3)
slope = -6 / 9
slope = -2/3
Therefore, the slope of a line representing the path of another airplane traveling parallel to the first airplane is -2/3.