The slope of the line $y = 8x + 10$ is 8 because it is in the form of a linear equation $y = mx + b$, where $m$ represents the slope and $b$ represents the y-intercept.

In this equation:

• $m = 8$, so the slope is 8.
• $b = 10$, so the y-intercept is 10.

The slope of a line essentially tells you how steep the line is. For every 1 unit increase in $x$, the value of $y$ increases by 8 units because of the slope $m = 8$.

Would you like further details or have any questions?

Here are some related questions to consider:

1. How does changing the slope $m$ affect the line?
2. What is the relationship between the slope of a line and its angle of inclination?
3. How do you find the slope of a line given two points?
4. How do you interpret a negative slope in a linear equation?
5. What is the significance of the y-intercept in a linear equation?

Tip: Recognizing the slope in linear equations is essential when solving calculus problems involving tangents and intersections.