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In an ordered pair, the x-coordinate comes first and the y-coordinate comes second.
In an ( x, y) ordered pair, the first number tells us the x-coordinate of the point and the second number tells us the y-coordinate of the point. To graph ( 1, 3), we first find 1 on the x-axis and make a mental note of this grid line. The x-coordinate 1
tells us to move 1 unit to the right of the origin — the positive horizontal direction.
Next, we find 3 on the y-axis and follow this grid line until it collides with the grid line from our x-coordinate. The y-coordinate 3
tells us to move 3 units up from the origin — the positive vertical direction.
The point ( 1, 3) lies on the point at which these two grid lines intersect. Let's follow the same steps for the other two points!
One common way that mathematicians describe points on a coordinate plane is by naming the quadrant in which the point lies. There are four quadrants and they are divided by the x- and y-axes.
The four quadrants are named using numbers. For example, the quadrant containing the positive x- and y-coordinates is either called Quadrant (I), the first quadrant, or Q1.