To draw the angle $-\frac{3\pi}{4}$ in standard position:

1. Standard position: The initial side of the angle lies along the positive $x$-axis, and the terminal side is determined by rotating counterclockwise (for positive angles) or clockwise (for negative angles).

2. $-\frac{3\pi}{4}$ radians: This angle is negative, so we rotate clockwise from the positive $x$-axis. In radians, $\pi$ represents a half-circle (180°).

   • $-\frac{3\pi}{4}$ is $-135^\circ$, or three-quarters of the way to $-\pi$ (which is $-180^\circ$).

3. Position of the angle: Start from the positive $x$-axis and rotate clockwise by 135°. The terminal side of the angle will lie in Quadrant III, as you have passed 90° (which lands in Quadrant IV) but stopped before reaching 180° (which lands on the negative $x$-axis).

The terminal side should end between the negative $x$-axis and the negative $y$-axis.

If you need a visual representation, let me know! Would you like a detailed breakdown of how to plot angles in standard position?