Segment XY represents the path of an airplane that passes through the coordinates (2, 1) and (4, 5). What is the slope of a line that represents the path of another airplane that is traveling parallel to the first airplane?
To find the slope of the line that represents the path of another airplane traveling parallel to the first airplane, we need to find the slope of the line that passes through the points (2, 1) and (4, 5).
The slope of a line is given by the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
Taking the coordinates (2, 1) as (x₁, y₁) and (4, 5) as (x₂, y₂), we have:
change in y-coordinates = y₂ - y₁ = 5 - 1 = 4
change in x-coordinates = x₂ - x₁ = 4 - 2 = 2
Therefore, the slope of the line passing through the points (2, 1) and (4, 5) is:
slope = change in y-coordinates / change in x-coordinates = 4/2 = 2.
Hence, the slope of the line representing the path of another airplane traveling parallel to the first airplane is 2.