To solve the equation \( y = mx + b \) for \( x \), follow these steps:

1. Subtract \( b \) from both sides of the equation:
   \[
   y - b = mx
   \]

2. Divide both sides of the equation by \( m \):
   \[
   x = \frac{y - b}{m}
   \]

Thus, the solution for \( x \) is:
\[
x = \frac{y - b}{m}
\]

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

1. What happens if \( m = 0 \) in the equation \( y = mx + b \)?
2. How would you interpret \( m \) and \( b \) in the context of a graph?
3. Can you rewrite \( y = mx + b \) in a different form, like slope-intercept form?
4. How do you find the slope \( m \) if given two points on a line?
5. How do you calculate the \( x \)-intercept from the equation \( y = mx + b \)?

**Tip**: Always check for special cases like \( m = 0 \), which results in a horizontal line.

Learn how to solve the linear equation y = mx + b for x with a step-by-step breakdown. This problem covers key algebraic concepts like slope, intercepts, and solving for variables. Suitable for students in Grades 8-10.

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