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.

Discover why the slope of the line y = 8x + 10 is 8. This explanation covers the basics of linear equations, focusing on the slope-intercept form y = mx + b. Suitable for Grades 7-9.

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