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.