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?%0D%0A(1 point)
The slope of a line is determined by the change in y-coordinate divided by the change in x-coordinate between two points on the line.
For the line segment XY, the change in y-coordinate is 5 - 1 = 4, and the change in x-coordinate is 4 - 2 = 2.
Therefore, the slope of segment XY is 4/2 = 2.
Since the path of the other airplane is parallel to segment XY, it will have the same slope.
Therefore, the slope of the line representing the path of the other airplane is also 2.
To find the slope of a line parallel to segment XY, we need to use the properties of parallel lines.
The slope of a line is given by the formula:
slope = (change in y)/(change in x)
We can determine the slope of segment XY using the given coordinates:
slope = (5 - 1)/(4 - 2)
slope = 4/2
slope = 2
Since parallel lines have the same slope, the slope of the line representing the path of another airplane traveling parallel to segment XY is also 2.
To find the slope of a line, we need to use the formula:
slope = (change in y coordinates) / (change in x coordinates)
In this case, the coordinates of the first airplane are (2, 1) and (4, 5). Let's label these points as (x1, y1) and (x2, y2) respectively.
x1 = 2
y1 = 1
x2 = 4
y2 = 5
Now, we can calculate the change in y coordinates and change in x coordinates:
change in y coordinates = y2 - y1 = 5 - 1 = 4
change in x coordinates = x2 - x1 = 4 - 2 = 2
So, the slope of the line representing the path of the first airplane is:
slope = change in y coordinates / change in x coordinates = 4 / 2 = 2
Since the second airplane is traveling parallel to the first airplane, it will have the same slope. Therefore, the slope of the line representing the path of the second airplane is also 2.