What is the y-intercept of the function 
y=4x+7?

The given function is \( y = 4x + 7 \).

To find the y-intercept, we set \( x = 0 \) because the y-intercept occurs where the graph crosses the y-axis, and at this point, the value of \( x \) is zero.

Substitute \( x = 0 \) into the equation:

\[
y = 4(0) + 7 = 0 + 7 = 7
\]

Thus, the y-intercept is \( 7 \). In coordinate form, it is \( (0, 7) \).

Would you like more details on how this relates to the slope-intercept form of a line?

Here are 5 related questions:
1. What is the slope of the function \( y = 4x + 7 \)?
2. How do you find the x-intercept of \( y = 4x + 7 \)?
3. What is the general form of a linear equation, and how does it differ from the slope-intercept form?
4. How does the y-intercept change if the equation is \( y = 4x - 3 \)?
5. How would you graph the line \( y = 4x + 7 \)?

**Tip**: The y-intercept of a linear equation in the form \( y = mx + b \) is always \( b \).

What is the y-intercept of the function y=4x+7?

Discover how to calculate the y-intercept of the linear function y = 4x + 7. This problem demonstrates the application of the slope-intercept form in algebra, ideal for students in Grades 6-8. Includes step-by-step guidance and related questions for further practice.

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