The image contains three linear equations, and you are asked to identify the slope (denoted as $m$) and the $y$-intercept (denoted as $b$) for each.

For a linear equation in the form of $y = mx + b$, $m$ is the slope, and $b$ is the $y$-intercept.

Here are the solutions:

1. Equation 1: $y = \frac{1}{3}x + 6$

   • Slope ($m$) = $\frac{1}{3}$
   • $y$-intercept ($b$) = $6$

2. Equation 2: $y = -x + 18$

   • Slope ($m$) = $-1$
   • $y$-intercept ($b$) = $18$

3. Equation 3: $y = \frac{5}{8}x - 11$

   • Slope ($m$) = $\frac{5}{8}$
   • $y$-intercept ($b$) = $-11$

Would you like more details or further clarification?

Here are 5 related questions to explore further:

1. How do you calculate the slope from two points on a line?
2. How can you graph these equations using the slope and $y$-intercept?
3. What is the significance of the slope in real-world applications?
4. How do negative slopes affect the direction of a line?
5. How would you find the $x$-intercept of these lines?

Tip: The slope indicates the steepness and direction of the line. A positive slope means the line rises, and a negative slope means it falls.