Read ordered pairs

An ordered pair identifies a point’s horizontal and vertical positions on the coordinate plane: the first coordinate gives the $x$ -coordinate and the second gives the $y$ -coordinate, measured from the origin along perpendicular axes. The learner interprets positive, negative, and zero integer coordinates, including the signs associated with each quadrant, and avoids reversing the coordinates. This understanding supports graphing relationships and later algebra, without extending to distance, slope, or general coordinate geometry.

Detailed Explanation: Read ordered pairs

An ordered pair is written as $(x,y)$ :

The first number tells the horizontal position, or $x$ $x$ -coordinate.
- Positive: move right
- Negative: move left
- Zero: stay on the $y$ -axis
The second number tells the vertical position, or $y$ $y$ -coordinate.
- Positive: move up
- Negative: move down
- Zero: stay on the $x$ -axis

Always read the coordinates in order: $x$ first, then $y$ .

Example

Read the point $(-3,2)$ .

Look at the first coordinate: $-3$ .
From the origin, move $3$ units left because the number is negative.
Look at the second coordinate: $2$ .
From there, move $2$ units up because the number is positive.
The point is in Quadrant II, where $x$ is negative and $y$ is positive.

So, the point $(-3,2)$ is $3$ units left and $2$ units up from the origin. Do not reverse the coordinates: $(-3,2)$ is different from $(2,-3)$ .

Learn by doing: Read ordered pairs

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Cartesian Grid - Points

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