https://file.aiquickdraw.com/mathbot/file/1726859145238s596iz9p.jpg

The problem asks to solve for \( m \) from the equation \( y = mx + b \).

### Step-by-step solution:

1. Starting with the equation:
   \[
   y = mx + b
   \]
2. Subtract \( b \) from both sides to isolate the term involving \( m \):
   \[
   y - b = mx
   \]
3. Now, divide both sides by \( x \) to solve for \( m \):
   \[
   m = \frac{y - b}{x}
   \]

Thus, the correct option is:
\[
m = \frac{y - b}{x}
\]

Do you want more details or have any questions? Here are some related questions to explore this further:

1. How can we rearrange equations to isolate different variables?
2. What happens when \( x = 0 \) in the equation \( y = mx + b \)?
3. What is the geometric interpretation of \( m \) in this equation?
4. How does the equation change if \( b = 0 \)?
5. What is the slope-intercept form of a line, and why is it useful?

**Tip**: When solving equations for a variable, always perform inverse operations to isolate the target variable.

Learn how to solve for m in the equation y = mx + b. This solution involves algebraic manipulation and the slope-intercept form, providing a step-by-step guide for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation