To find the values of $m$ (the slope) and $b$ (the y-intercept) for the given line, we need to analyze the graph.

1. Finding the slope $m$:

   • The slope $m$ is determined by the ratio of the change in $y$ to the change in $x$ between any two points on the line.
   • From the graph, two points on the line are clearly (0, 0) and (10, 10).

   $m = \frac{\Delta y}{\Delta x} = \frac{10 - 0}{10 - 0} = \frac{10}{10} = 1$

2. Finding the y-intercept $b$:

   • The y-intercept $b$ is the value of $y$ when $x = 0$.
   • From the graph, it is clear that the line passes through the origin (0, 0), so $b = 0$.

Thus, the values are: $m = 1$ $b = 0$

Would you like any further details or have any questions?

Here are five questions you might consider asking next:

1. How do you determine the equation of a line given two points?
2. What is the significance of the slope in the context of a graph?
3. How can you find the x-intercept of a line?
4. What are parallel and perpendicular lines and how do their slopes relate?
5. How do you convert the standard form of a line's equation to slope-intercept form?

Tip: When working with graphs, always ensure you accurately read the coordinates of the points to correctly determine the slope and intercepts.