Analyze the Linear Function y = -x - 2: Increasing or Decreasing?

To determine if the function $y = -x - 2$ is increasing or decreasing, we analyze its slope.

• Step 1: Identify the slope. The given function is in the form $y = mx + b$, where $m$ is the slope. Here, $m = -1$.
• Step 2: Analyze the slope. Since $m = -1$, which is less than 0, the slope is negative.
• Step 3: Conclude based on the slope. For a linear function, if the slope is negative ($m < 0$), the function is said to be decreasing.

Therefore, the function is Decreasing.