The distance along the x-axis is 4 units (7 minus 3). The distance along the y-axis is 3 units (4 minus 1). These represent the horizontal and vertical shifts between the points.
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Yes, this claim is entirely true. In an ordered pair, the position of each number matters. The points are only the same if the values in both positions are exactly equal.
Yes, the points coincide only when the x-coordinate is equal to the y-coordinate. For example, if x = 5 and y = 5, both points P and Q become (5, 5).
Yes, a similar rule applies: the y-coordinate of any point on the x-axis is always 0. These points follow the general form (x, 0), indicating they have no vertical displacement.
The x-coordinate of any point located on the y-axis is always 0. This is because the point has not moved horizontally to the left or right from the central vertical line.