Final answer:
The coordinates of the endpoints of AB¯¯¯¯¯ and CD¯¯¯¯¯ are A(2, 3), B(8, 1), C(5, 2), and D(6, 5). Line A is a decreasing line while line B is an increasing line, with line B being much steeper than line A.
Step-by-step explanation:
The coordinates of the endpoints of AB¯¯¯¯¯ and CD¯¯¯¯¯ are A(2, 3), B(8, 1), C(5, 2), and D(6, 5). We can calculate the slopes of the line segments AB¯¯¯¯¯ and CD¯¯¯¯¯ using the formula:
Slope = (y2 - y1) / (x2 - x1)
For AB¯¯¯¯¯, the slope is (1 - 3) / (8 - 2) = -2 / 6 = -1/3.
For CD¯¯¯¯¯, the slope is (5 - 2) / (6 - 5) = 3 / 1 = 3.
Therefore, the statement that is true about the line segments is: Line A is a decreasing line while line B is an increasing line, with line B being much steeper than line A.