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The equation given is \( y = 10x - 7 \).

To find the **y-intercept** of a line, we set \( x = 0 \) because the y-intercept is the point where the line crosses the y-axis (where \( x = 0 \)).

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

\[
y = 10(0) - 7 = -7
\]

Thus, the **y-intercept** is \( -7 \), and the point is \( (0, -7) \).

Would you like more details or further clarifications?

Here are 5 related questions:
1. What is the slope of the line given by \( y = 10x - 7 \)?
2. How do you find the x-intercept of the line \( y = 10x - 7 \)?
3. What does the slope of 10 represent in the context of this line?
4. How would you graph the line \( y = 10x - 7 \)?
5. What are some real-world examples of y-intercepts?

**Tip**: The y-intercept is a key feature in many linear equations, as it gives a starting point when graphing the line.

What is the y-intercept of the line with the equation y = 10x - 7?

Understand how to calculate the y-intercept for the linear equation y = 10x - 7. The solution explains the process step by step, suitable for students in grades 6-8 studying linear equations and algebra.

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