To solve for \( b \) in the equation \( y = mx + c \), we need to clarify what each term represents. It seems like you're referring to the general equation of a straight line in slope-intercept form, where:

- \( y \) is the dependent variable.
- \( m \) is the slope of the line.
- \( x \) is the independent variable.
- \( c \) is the y-intercept (often denoted as \( b \)).

If you're asking to solve for \( b \) (which corresponds to \( c \)), then the equation is already in the desired format:

\[
y = mx + b
\]

In this case, \( b \) (or \( c \)) represents the value of \( y \) when \( x = 0 \), i.e., the y-intercept.

Would you like further details or to clarify the context of this question?

### Related Questions:
1. How do you find the slope \( m \) from a set of points on a line?
2. What does the slope-intercept form tell us about a line's graph?
3. How can you calculate the y-intercept if given the equation and slope?
4. How does the slope affect the direction of a line on the graph?
5. Can you convert the slope-intercept form into other forms, like point-slope or standard form?

**Tip**: Always double-check if the variables are labeled correctly when working with slope-intercept form to avoid confusion!

Learn how to solve for the y-intercept in a linear equation of the form y = mx + c. This guide explains the slope-intercept format, key concepts in algebra, and how to calculate the y-intercept when x = 0. Ideal for students in Grades 8-10.

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