Question

explain why (4, - 6) and (-6,4) do not represent the same ordered pair. the ordered pair (4, - 6) is located units from 0 to the along the x - axis and units along a line parallel to the y - axis. however, the ordered pair (-6,4) is located units from 0 to the along the x - axis and units along a line parallel to the y - axis.

Explanation:

In an ordered pair (x, y), x is the horizontal (x - axis) coordinate and y is the vertical (y - axis) coordinate. For (4, - 6), x = 4 (4 units to the right of 0 on x - axis) and y=-6 (6 units down parallel to y - axis). For (-6, 4), x = - 6 (6 units to the left of 0 on x - axis) and y = 4 (4 units up parallel to y - axis). So they are different.

Answer:

The ordered pair (4, - 6) is located 4 units from 0 to the right along the x - axis and 6 units down along a line parallel to the y - axis. However, the ordered pair (-6, 4) is located 6 units from 0 to the left along the x - axis and 4 units up along a line parallel to the y - axis.