Intersecting lines !!

Mark the points on graph ,x= 4 and y = 3

Extend the perpendicular from the point ..U will see they will intersect at the point (4,3)

Graphical representation of the pair of equations x=4 and y=3:

To graphically represent the pair of equations x=4 and y=3, we need to understand what these equations represent individually.

The equation x=4:
The equation x=4 represents a vertical line passing through the x-coordinate 4. This means that no matter what the y-coordinate is, the x-coordinate will always be 4. Therefore, the line will be vertical and parallel to the y-axis.

The equation y=3:
The equation y=3 represents a horizontal line passing through the y-coordinate 3. This means that no matter what the x-coordinate is, the y-coordinate will always be 3. Therefore, the line will be horizontal and parallel to the x-axis.

Graphical representation:
To graphically represent these equations, we can draw a coordinate plane with the x-axis and y-axis. We can draw the vertical line x=4 and the horizontal line y=3 on this coordinate plane.

- Draw the x-axis horizontally and label it with numbers.
- Draw the y-axis vertically and label it with numbers.
- Find the point (4, 0) on the x-axis and mark it as a point on the vertical line x=4.
- Find the point (0, 3) on the y-axis and mark it as a point on the horizontal line y=3.
- Connect these points to form the vertical line x=4 and the horizontal line y=3.

Explanation:
The graph of x=4 will be a vertical line passing through the point (4, 0) on the x-axis. This line will be parallel to the y-axis and will divide the coordinate plane into two halves.

The graph of y=3 will be a horizontal line passing through the point (0, 3) on the y-axis. This line will be parallel to the x-axis and will divide the coordinate plane into two halves.

Since these lines are vertical and horizontal, they will not intersect each other. Therefore, there will be no common solution to the pair of equations x=4 and y=3.

Summary:
- The equation x=4 represents a vertical line passing through the x-coordinate 4.
- The equation y=3 represents a horizontal line passing through the y-coordinate 3.
- The graph of x=4 is a vertical line parallel to the y-axis passing through the point (4, 0).
- The graph of y=3 is a horizontal line parallel to the x-axis passing through the point (0, 3).
- These lines do not intersect each other, indicating that there is no common solution to the pair of equations x=4 and y=3.