The **y-intercept** is the point where a graph crosses the **y-axis**. In general, for a linear equation of the form:

\[
y = mx + b
\]

- **m** is the slope (the rate of change of y with respect to x).
- **b** is the **y-intercept**, which is the value of \( y \) when \( x = 0 \).

So, the formula to find the **y-intercept** is:

\[
y = b \quad \text{(when } x = 0 \text{)}
\]

This means that to find the y-intercept from a linear equation, simply set \( x = 0 \) and solve for \( y \).

### Example:
If the equation is \( y = 2x + 3 \), the y-intercept is \( b = 3 \). This tells us that the graph crosses the y-axis at the point \( (0, 3) \).

Would you like further explanation or examples on finding y-intercepts?

### Related Questions:
1. How do you find the y-intercept from a graph?
2. What is the difference between the slope and the y-intercept?
3. How can you find the y-intercept from two points on a line?
4. Can the y-intercept be negative? What does that mean graphically?
5. How does the y-intercept change if the equation is quadratic?

**Tip:** To find the y-intercept in other types of functions (like quadratics), set \( x = 0 \) and solve for \( y \).

Learn how to find the y-intercept of a linear equation in the form y = mx + b. This guide covers the slope-intercept form, explains how to identify the y-intercept, and provides examples for better understanding. Suitable for Grades 6-8 students learning coordinate geometry.

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