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Y Coordinate – Definition, Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">Y CoordinateY Coordinate – Definition, ExamplesTable of ContentsY-Coordinate: Definition, Examples, and How to Find It Definition of Y-Coordinate

The y-coordinate is the second element of an ordered pair (x, y) in the Cartesian coordinate system. It tells us how far up or down a point is located in relation to the origin, defining the perpendicular distance of the point from the X-axis. The y-coordinate is also called the "ordinate," while the x-coordinate is known as the "abscissa." Together, these coordinates help us locate points in two-dimensional space, with the x-coordinate representing horizontal position and the y-coordinate representing vertical position.

In a 2D plane, the sign of the y-coordinate follows a specific convention based on quadrant location. Points located above the x-axis have positive y-coordinates, while points below the x-axis have negative y-coordinates. The first and second quadrants contain points with positive y-coordinates, while the third and fourth quadrants contain points with negative y-coordinates. Points lying directly on the x-axis always have a y-coordinate of zero.

Examples of Y-Coordinate Example 1: Finding the Y-Coordinate on a Graph Problem:

Find the value of the y-coordinate of point A in the given graph.

Finding the Y-Coordinate on a Graph

Step-by-step solution:

Step 1, Remember that the y-coordinate represents the vertical distance from the x-axis.

Step 2, Look at where the point is located. The point is 5 units above the x-axis, which means its y-coordinate will be positive.

Step 3, Count the units from the x-axis to the point. Since the point is 5 units above the x-axis, the y-coordinate of the point is +5, or simply 5.

Example 2: Determining a Point's Quadrant Problem:

The coordinates of the point are (2, 4). Find the quadrant in which the point lies.

Step-by-step solution:

Step 1, Look at the signs of both coordinates. The point has coordinates (2, 4), so both the x-coordinate (2) and y-coordinate (4) are positive.

Step 2, Recall that when both x and y coordinates are positive, the point is located in the first quadrant.

Step 3, To check this, we can plot the point on the coordinate plane by moving 2 units right from the origin and then 4 units up.

Step 4, Since the point is in the upper right section of the coordinate plane, it lies in the first quadrant.

Determining a Point's Quadrant

Example 3: Finding Coordinates in a Real-World Scenario Problem:

Starting from the center of the classroom (origin), Jack first walked 3 units to the right. Next, he walked 7 units up. Find the y-coordinate of his position.

Step-by-step solution:

Step 1, Understand that in this problem, the center of the classroom represents the origin (0, 0) of a coordinate system.

Step 2, Track Jack's movements. First, he walked 3 units to the right, which means he moved 3 units along the positive x-axis.

Step 3, Then, Jack walked 7 units up, which means he moved 7 units along the positive y-axis.

Step 4, The horizontal movement gives us the x-coordinate, which is 3. The vertical movement gives us the y-coordinate, which is 7.

Step 5, Therefore, Jack's final position has coordinates (3, 7), and the y-coordinate of his position is 7.

Finding Coordinates in a Real-World Scenario

Comments(7)SSnowboarderXavierNovember 6, 2025I've used this y-coordinate definition to help my students. It's clear and made plotting points in 2D space so much easier for them!

PPsychologistSimonNovember 4, 2025I've used this y - coordinate def to help my students. It's clear and the examples made grasping the concept a breeze!

VViolinistNinaNovember 4, 2025I've been struggling to explain y - coordinates to my students. This clear definition really helped! Thanks for the great resource.

MCMs. CarterSeptember 17, 2025I used the y-coordinate explanation from this page to help my kids understand graphing better. The examples made it so easy to connect the concept to real-life positioning—great resource!

MCMs. CarterSeptember 10, 2025I’ve been using this site to help my kids with their math homework, and the y-coordinate explanation was so clear! The examples really made it easy for them to grasp. Thanks for the great resource!

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