Let's analyze the graph to find the slope and y-intercept of the linear function.

1. Finding the slope: The slope $m$ of a line is calculated as: $m = \frac{\text{change in } y}{\text{change in } x} = \frac{\Delta y}{\Delta x}$ Looking at the graph, we can observe two points:

   • One point is at $(-3, -5)$.
   • Another point is at $(3, 4)$.

   To find the slope: $m = \frac{4 - (-5)}{3 - (-3)} = \frac{4 + 5}{3 + 3} = \frac{9}{6} = \frac{3}{2}$ So, the slope is $\frac{3}{2}$.

2. Finding the y-intercept: The y-intercept is where the line crosses the y-axis. From the graph, we see that the line crosses the y-axis at $y = -1$.

Thus:

• The slope of the linear function is $\frac{3}{2}$.
• The y-intercept of the linear function is $-1$.

Would you like any further details on the calculation process?

Here are 5 related questions for further exploration:

1. What is the equation of the line in slope-intercept form $y = mx + b$?
2. How does changing the slope affect the steepness of a line?
3. What is the x-intercept of this line?
4. How would the graph look if the slope was negative?
5. Can a line have no y-intercept? If so, when?

Tip: When calculating the slope between two points, always remember to subtract the coordinates in the same order (i.e., $\Delta y$ and $\Delta x$ correspond to the same points).