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

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: \[ \text{A}(5,4),\quad \text{B}(-2,3),\quad \text{C}(3,-3),\quad \text{D}(-1,-4),\quad \text{E}(0,3),\quad \text{F}(0,-6),\quad \text{G}(6,0),\quad \text{H}(-6,0). \]