Given the function 10x - 2y = 16. Identify the Rate of Change.
Group of answer choices

m = -10

m = -5

m = 10

m = 5

The given equation is:

\[
10x - 2y = 16
\]

To identify the rate of change (or the slope \(m\)), we first rewrite the equation in slope-intercept form, \(y = mx + b\), where \(m\) represents the slope.

### Steps:
1. Start with the equation:  
   \[10x - 2y = 16\]
2. Solve for \(y\). Move \(10x\) to the right side:  
   \[-2y = -10x + 16\]
3. Divide both sides by \(-2\):  
   \[y = 5x - 8\]

Now, the equation is in the form \(y = mx + b\), and we can see that the slope \(m = 5\).

### Answer:
The rate of change (slope) is:

\[
\boxed{m = 5}
\]

Would you like further details on this process or have any other questions?

Here are five related questions to deepen your understanding:
1. How can you identify the slope from the general form of a linear equation?
2. What is the importance of the slope in a linear equation?
3. How do you graph a linear equation from slope-intercept form?
4. Can the slope of a line be negative, and what does that represent?
5. How do you convert a line equation from standard form to slope-intercept form?

**Tip:** The slope represents how much \(y\) changes for each unit change in \(x\), indicating the steepness and direction of a line.

Given the function 10x - 2y = 16. Identify the Rate of Change. Group of answer choices: m = -10, m = -5, m = 10, m = 5.

Learn how to identify the rate of change (slope) from the equation 10x - 2y = 16. This step-by-step guide demonstrates how to convert the equation to slope-intercept form to find the slope (m = 5). Suitable for students in Grades 8-10 studying linear equations and algebra.

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