91Ó°ÊÓ

When we talk about the x-coordinate, we are referring to the horizontal position of a point on a graph. The x-coordinate tells us how far left or right a point is from the y-axis, which is the vertical line in a graph.

If the x-coordinate is a positive number, the point is to the right of the y-axis. If the x-coordinate is a negative number, the point is to the left of the y-axis. For example, in the coordinate (3, 5), the x-coordinate is 3, meaning the point is three units to the right of the y-axis.

However, if the x-coordinate is 0, like in the coordinate (0, 5), it means the point is exactly on the y-axis. There is no movement to the left or right.

Understanding the x-coordinate helps in easily locating points on a graph and understanding their relation to the y-axis.

The y-axis is the vertical line on a graph that runs up and down. It is one of the two main axes used to define the coordinate system.

When a point is said to lie on the y-axis, it means its x-coordinate is 0. This is because the y-axis represents positions where there is no horizontal movement from the origin (0,0). For instance, any point with coordinates like (0, 5), (0, -3), or (0, 12) will be on the y-axis.

The y-axis helps us understand the vertical placement of points and is crucial for creating graphs and plotting coordinates accurately.

In the context of our exercise, because the x-coordinate is 0, the point (0, 5) lies on the y-axis.

Graphing points involves placing points on a graph based on their coordinates, which consist of an x-coordinate and a y-coordinate.

Here are the steps to graph points efficiently:

• Identify the x-coordinate: This tells you how far to move left or right from the origin.
• Identify the y-coordinate: This tells you how far to move up or down from the origin.
• Plot the point: Starting from the origin, move according to the x and y values, then mark the point.

For example, to graph the point (0, 5):

• The x-coordinate is 0, so you do not move left or right from the origin.
• The y-coordinate is 5, so you move up 5 units from the origin.
• Mark the point at (0, 5) on the graph.

By following these steps, you can accurately graph any point given its coordinates.