Locate the points P(3, 4), Q(1, 0), R(0, 4) and S(4, 1) on a graph sheet and write the coordinates of the point of intersection of line segments PQ and RS.

Answer

To solve the problem of locating the points P(3, 4), Q(1, 0), R(0, 4), and S(4, 1) on a graph sheet and finding the coordinates of the point of intersection of the line segments PQ and RS, follow these steps:

### Step-by-Step Solution:

1. **Draw the Axes**: Start by drawing the x-axis (horizontal) and the y-axis (vertical) on your graph sheet. Mark the origin (0, 0) where the two axes intersect.

**Hint**: Ensure your axes are clearly labeled with equal intervals to accurately plot the points.

2. **Locate Point P(3, 4)**:
- Move 3 units to the right on the x-axis (since x = 3).
- Then move 4 units up on the y-axis (since y = 4).
- Mark the point P.

**Hint**: Use a ruler to ensure your points are straight and accurately placed.

3. **Locate Point Q(1, 0)**:
- Move 1 unit to the right on the x-axis (since x = 1).
- Since y = 0, you do not need to move up or down. Mark the point Q.

**Hint**: This point lies on the x-axis, which makes it easier to locate.

4. **Locate Point R(0, 4)**:
- Since x = 0, this point is on the y-axis.
- Move 4 units up on the y-axis (since y = 4) and mark the point R.

**Hint**: Remember that any point with x = 0 will lie on the y-axis.

5. **Locate Point S(4, 1)**:
- Move 4 units to the right on the x-axis (since x = 4).
- Then move 1 unit up on the y-axis (since y = 1) and mark the point S.

**Hint**: Check that you are moving the correct number of units in both directions.

6. **Draw Line Segments PQ and RS**:
- Use a ruler to draw a straight line connecting points P and Q.
- Similarly, draw a straight line connecting points R and S.

**Hint**: Make sure the lines are straight and extend them slightly beyond the points for clarity.

7. **Find the Point of Intersection**:
- Observe where the two lines (PQ and RS) intersect.
- This point is where both line segments meet.

8. **Determine the Coordinates of the Intersection Point**:
- From the graph, identify the coordinates of the intersection point. In this case, it is (2, 2).

**Hint**: Double-check the coordinates by counting the units from the axes.

### Final Answer:
The coordinates of the point of intersection of line segments PQ and RS are (2, 2).