1. **State the problem:** Graph and label the points A(1, -1), B(4, 3), C(-4, 3), D(5, -2), E(-2.5, 1.5), F(2, 1.5), G(-2, -1 \frac{1}{2}), and H(1 \frac{1}{2}, -1) on the coordinate plane. 2. **Recall the coordinate plane basics:** The coordinate plane has an x-axis (horizontal) and a y-axis (vertical) intersecting at the origin (0,0). Points are written as ordered pairs $(x, y)$ where $x$ is the horizontal position and $y$ is the vertical position. 3. **Plotting each point:** - For A(1, -1): Start at origin, move 1 unit right (positive $x$), then 1 unit down (negative $y$). - For B(4, 3): Move 4 units right, then 3 units up. - For C(-4, 3): Move 4 units left, then 3 units up. - For D(5, -2): Move 5 units right, then 2 units down. - For E(-2.5, 1.5): Move 2.5 units left, then 1.5 units up. - For F(2, 1.5): Move 2 units right, then 1.5 units up. - For G(-2, -1 \frac{1}{2}): Move 2 units left, then 1.5 units down. - For H(1 \frac{1}{2}, -1): Move 1.5 units right, then 1 unit down. 4. **Important notes:** - Negative $x$ means move left; positive $x$ means move right. - Negative $y$ means move down; positive $y$ means move up. - Mixed numbers like $-1 \frac{1}{2}$ equal $-1.5$. 5. **Summary:** Each point is located by moving horizontally according to the $x$-coordinate and vertically according to the $y$-coordinate from the origin. This completes the graphing of the given points on the coordinate plane.