Plot the following points. $$ \begin{array}{l} ext { A(5,4), B(-2,3),C(3,-3), D(-1,-4), } \ E(0,3), F(0,-6), G(6,0), H(-6,0)\end{array} $$

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Plot the following points. $$ \begin{array}{l}	ext { A(5,4), B(-2,3),C(3,-3), D(-1,-4), } \ E(0,3), F(0,-6), G(6,0), H(-6,0)\end{array} $$

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1. **Draw and Label the Axes**

- Draw a horizontal $$ x $$-axis and a vertical $$ y $$-axis that cross at the origin $$(0,0)$$.
   - Label the axes with numbers, ensuring that both positive and negative values are represented. For example, mark points at intervals such as $$-6, -5, \dots, 0, \dots, 5, 6$$.

2. **Plot Each Point**

- **Point A $$(5,4)$$**
     
     - From the origin, move $$5$$ units to the right along the $$ x $$-axis and $$4$$ units up along the $$ y $$-axis.
     - Place a dot at $$(5,4)$$ and label it as A.
     
   - **Point B $$(-2,3)$$**
     
     - From the origin, move $$2$$ units to the left (since the $$ x $$-coordinate is $$-2$$) and $$3$$ units up.
     - Place a dot at $$(-2,3)$$ and label it as B.
     
   - **Point C $$(3,-3)$$**
     
     - From the origin, move $$3$$ units to the right and $$3$$ units down (because the $$ y $$-coordinate is $$-3$$).
     - Place a dot at $$(3,-3)$$ and label it as C.
     
   - **Point D $$(-1,-4)$$**
     
     - From the origin, move $$1$$ unit to the left and $$4$$ units down.
     - Place a dot at $$(-1,-4)$$ and label it as D.
     
   - **Point E $$(0,3)$$**
     
     - From the origin, since the $$ x $$-coordinate is $$0$$, remain on the $$ y $$-axis and move $$3$$ units up.
     - Place a dot at $$(0,3)$$ and label it as E.
     
   - **Point F $$(0,-6)$$**
     
     - Stay on the $$ y $$-axis (because $$ x = 0 $$) and move $$6$$ units down.
     - Place a dot at $$(0,-6)$$ and label it as F.
     
   - **Point G $$(6,0)$$**
     
     - Since the $$ y $$-coordinate is $$0$$, stay on the $$ x $$-axis and move $$6$$ units to the right.
     - Place a dot at $$(6,0)$$ and label it as G.
     
   - **Point H $$(-6,0)$$**
     
     - Stay on the $$ x $$-axis and move $$6$$ units to the left.
     - Place a dot at $$(-6,0)$$ and label it as H.

3. **Review the Plot**

- Verify that all points are correctly placed:
     - Point A is in the first quadrant.
     - Point B is in the second quadrant.
     - Point C is in the fourth quadrant.
     - Point D is in the third quadrant.
     - Point E lies on the positive side of the $$ y $$-axis.
     - Point F lies on the negative side of the $$ y $$-axis.
     - Point G lies on the positive side of the $$ x $$-axis.
     - Point H lies on the negative side of the $$ x $$-axis.

4. **Final Check**

- Ensure that your graph includes clearly visible labels and correctly scaled axes so that the relative positions of the points can be easily identified.

Following these steps will result in a neat and accurate plot of the points:
$$
\text{A}(5,4),\quad \text{B}(-2,3),\quad \text{C}(3,-3),\quad \text{D}(-1,-4),\quad \text{E}(0,3),\quad \text{F}(0,-6),\quad \text{G}(6,0),\quad \text{H}(-6,0).
$$
Plot the points as follows: - A(5,4): 5 units right, 4 units up - B(-2,3): 2 units left, 3 units up - C(3,-3): 3 units right, 3 units down - D(-1,-4): 1 unit left, 4 units down - E(0,3): 3 units up from origin - F(0,-6): 6 units down from origin - G(6,0): 6 units right from origin - H(-6,0): 6 units left from origin

Plot the following points. \( \begin{array}{l}\text { A(5,4), B(-2,3),C(3,-3), D(-1,-4), } \\ E(0,3), F(0,-6), G(6,0), H(-6,0)\end{array} \)

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