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

Question

Given the following function:

$y=-x-2$

Is the function increasing or decreasing?

00:00 Is the function increasing or decreasing?

00:03 The function equation according to the given data

00:08 Minus is exactly like multiplying by (-1)

00:12 The function's slope is negative according to the given data

00:15 When the function's slope is negative, the function is decreasing

00:19 And this is the solution to the question

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.

Decreasing