Identifying Points on a Rectangular Coordinate System
Learning Outcomes
- Identify points on a graph
Example
Describe the point shown as an ordered pair.Answer: Begin at the origin and move along the x-axis. This is the x-coordinate and is written first in the ordered pair.
[latex](5,<i>y</i>)[/latex]
Move from 5 up to the ordered pair and read the number on the y-axis. This is the y-coordinate and is written second in the ordered pair.[latex](5,2)[/latex]
Answer
The point shown as an ordered pair is [latex](5,2)[/latex].Describe the point shown as an ordered pair
https://youtu.be/c9WVU34MY5Qexample
Name the ordered pair of each point shown: Solution Point A is above [latex]-3[/latex] on the [latex]x\text{-axis}[/latex], so the [latex]x\text{-coordinate}[/latex] of the point is [latex]-3[/latex]. The point is to the left of [latex]3[/latex] on the [latex]y\text{-axis}[/latex], so the [latex]y\text{-coordinate}[/latex] of the point is [latex]3[/latex]. The coordinates of the point are [latex]\left(-3,3\right)[/latex]. Point B is below [latex]-1[/latex] on the [latex]x\text{-axis}[/latex], so the [latex]x\text{-coordinate}[/latex] of the point is [latex]-1[/latex]. The point is to the left of [latex]-3[/latex] on the [latex]y\text{-axis}[/latex], so the [latex]y\text{-coordinate}[/latex] of the point is [latex]-3[/latex]. The coordinates of the point are [latex]\left(-1,-3\right)[/latex]. Point C is above [latex]2[/latex] on the [latex]x\text{-axis}[/latex], so the [latex]x\text{-coordinate}[/latex] of the point is [latex]2[/latex]. The point is to the right of [latex]4[/latex] on the [latex]y\text{-axis}[/latex], so the [latex]y\text{-coordinate}[/latex] of the point is [latex]4[/latex]. The coordinates of the point are [latex]\left(2,4\right)[/latex]. Point D is below [latex]4[/latex] on the [latex]x-\text{axis}[/latex], so the [latex]x\text{-coordinate}[/latex] of the point is [latex]4[/latex]. The point is to the right of [latex]-4[/latex] on the [latex]y\text{-axis}[/latex], so the [latex]y\text{-coordinate}[/latex] of the point is [latex]-4[/latex]. The coordinates of the point are [latex]\left(4,-4\right)[/latex].try it
[ohm_question]146915[/ohm_question]example
Name the ordered pair of each point shown:Answer: Solution
Point A is on the x-axis at [latex]x=-4[/latex] | The coordinates of point A are [latex]\left(-4,0\right)[/latex] |
Point B is on the y-axis at [latex]y=-2[/latex] | The coordinates of point B are [latex]\left(0,-2\right)[/latex] |
Point C is on the x-axis at [latex]x=3[/latex] | The coordinates of point C are [latex]\left(3,0\right)[/latex] |
Point D is on the y-axis at [latex]y=1[/latex] | The coordinates of point D are [latex]\left(0,1\right)[/latex] |
try it
[ohm_question]146919[/ohm_question]Contribute!
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Licenses & Attributions
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- Question ID 146919, 146915, 146888, 146887, 146886, 146885, 146883. Authored by: Lumen Learning. License: CC BY: Attribution.
CC licensed content, Shared previously
- Determine the Ordered Pairs for Points Plotted on the Coordinate Plane. Authored by: James Sousa (mathispower4u.com). License: CC BY: Attribution.
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- Prealgebra. Provided by: OpenStax License: CC BY: Attribution. License terms: Download for free at http://cnx.org/contents/[email protected].