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The y-axis is one of the two axes in a Cartesian coordinate system. It runs vertically on the graph and is positioned perpendicular to the x-axis. The y-axis is commonly used to represent the dependent variable in an equation or to plot the range of values.

Think of the y-axis as a number line that goes up and down. The center point where it intersects with the x-axis is called the origin, represented by the coordinates (0,0). Moving up the y-axis increases the value, starting from zero (positive values), whereas moving down decreases the value (negative values). This makes it easy to understand how different points align themselves vertically.

Always remember: points on the y-axis have an x-coordinate of 0. This indicates their horizontal position is null, and all their value is determined by their vertical position.

Coordinates are pairs of numbers that define a specific point on a graph. These pairs are usually written in the form ewline(x, y)ewline. The first number is the x-coordinate, and the second is the y-coordinate.

The x-coordinate denotes the horizontal position of the point, while the y-coordinate specifies the vertical position. Both these values are crucial as they precisely locate a point in the Cartesian plane. For example, the point (2, 3) means you move 2 units to the right along the x-axis and 3 units up along the y-axis.

When plotting points, you always start from the origin (0,0). Moving horizontally to reach the x-coordinate comes first, followed by a vertical movement to reach the y-coordinate. This creates an ordered and systematic method to place any point accurately on the graph.

The x-coordinate represents the horizontal position of a point on the graph. It is the first value in the coordinate pair ewline(x, y)ewline, and it tells you how far to move left or right from the origin.

A positive x-coordinate means you move to the right from the origin, while a negative x-coordinate directs you to the left. This movement helps in locating the exact horizontal placement of a point before determining its vertical position using the y-coordinate.

On the vertical axis, however, the x-coordinate is always 0. This is a unique property of points lying on the y-axis. For instance, the point (0, 4) lies on the y-axis at 4 units above the origin because its x-coordinate is 0. Understanding this helps in quickly recognizing points that reside on the vertical axis.