To find the slope of the line shown in the image, we use the formula:

$\text{slope} = \frac{\text{rise}}{\text{run}}$

1. Identify two points on the line: From the graph, two clear points on the line are $(-1, 1)$ and $(1, 4)$.

2. Calculate the rise and run:

   • Rise (change in $y$-coordinates): $4 - 1 = 3$
   • Run (change in $x$-coordinates): $1 - (-1) = 1 + 1 = 2$

3. Compute the slope: $m = \frac{\text{rise}}{\text{run}} = \frac{3}{2}$

So, the slope $m = \frac{3}{2}$.

Would you like further details or have any questions?

Here are five related questions you might find helpful:

1. How do we interpret the slope of a line in real-world situations?
2. What does a slope of $\frac{3}{2}$ mean in terms of angle or steepness?
3. How do we calculate the slope of a vertical or horizontal line?
4. Can the slope formula be applied to nonlinear graphs?
5. How does changing one of the points affect the slope?

Tip: When determining the slope, always simplify the fraction to its lowest terms if possible.