Find the Rate of Change in the Linear Function y=10-2x

Given the linear function:

$y=10-2x$

What is the rate of change of the function?

To solve this problem, we'll follow these steps:

• Step 1: Recognize the given function $y = 10 - 2x$ and compare it to the standard linear form $y = mx + b$.
• Step 2: Identify the coefficient of $x$ which is $-2$.
• Step 3: Understand that this coefficient $-2$ is the slope or rate of change of the function.

Now, let's work through each step:
Step 1: The linear function provided is $y = 10 - 2x$.
Step 2: Comparing this with the standard linear form $y = mx + b$, we see that the coefficient of $x$ is $-2$.
Step 3: Therefore, the rate of change (or the slope) of the function is $m = -2$.

Thus, the rate of change of the linear function is $m = -2$.