Graph of the Point (-6,3)

To begin with, let's plot the point (-6,3) on the coordinate plane. The x-coordinate of the point is -6, which means it lies 6 units to the left of the origin (0,0). The y-coordinate of the point is 3, which means it lies 3 units above the x-axis.

Now, let's draw the line AL perpendicular to the x-axis passing through the point (-6,3).

Drawing the Perpendicular Line AL

To draw a line perpendicular to the x-axis passing through (-6,3), we need to understand that a line perpendicular to the x-axis is a vertical line.

Since the line AL is vertical, it will have the same x-coordinate as the point (-6,3). Therefore, the x-coordinate of point L will also be -6.

The y-coordinate of point L can be any value since it lies on a vertical line. However, to maintain consistency with the given point (-6,3), the y-coordinate of point L will also be 3.

Hence, the coordinates of point L are (-6,3).

Summary

- The point (-6,3) is plotted on the graph at 6 units to the left of the origin and 3 units above the x-axis.
- To draw a line perpendicular to the x-axis passing through (-6,3), we find that point L will have the same x-coordinate of -6 and the same y-coordinate of 3.
- Therefore, the coordinates of point L are (-6,3).