https://file.aiquickdraw.com/mathbot/file/1729271437117yifsjnd0.jpg

The graph shows a horizontal line passing through the point \( y = 10 \) on the y-axis, meaning the equation of the line is \( y = 10 \).

### Slope of a Horizontal Line:
For a horizontal line, the slope is always 0 because the line does not rise or fall as you move along it. Slope \( m \) is calculated as:
\[
m = \frac{{\text{rise}}}{{\text{run}}} = \frac{{0}}{{\text{run}}} = 0
\]

Thus, the correct answer is:
- **Equation**: \( y = 10 \)
- **Slope**: 0

Therefore, the correct choice is **b. \( y = 10 \); slope is zero**.

Do you want more details or have any questions?

Here are 5 related questions for deeper understanding:
1. What is the slope of a vertical line?
2. How would the equation change if the line was vertical at \( x = 10 \)?
3. What happens to the slope if a line passes through both the x-axis and y-axis?
4. How can you calculate the slope if you are given two points on a line?
5. What is the relationship between slope and the steepness of a line?

**Tip**: A horizontal line always has a slope of zero, while a vertical line has an undefined slope.

What are the equation and slope of the line shown on the grid?

This problem involves finding the equation and slope of a horizontal line that passes through y = 10 on the coordinate plane. Learn about the properties of horizontal lines and why the slope is zero. Ideal for students in Grades 6-8.

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