To find the slope of the line in the graph, we use the formula for slope, which is:

$m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}$

Step-by-Step Solution:

1. Identify two points on the line:
   From the graph, two clear points are:

   • $(-3, 7)$
   • $(1, -5)$

2. Use the slope formula:
   Plug the coordinates $(-3, 7)$ and $(1, -5)$ into the slope formula:

   $m = \frac{-5 - 7}{1 - (-3)} = \frac{-12}{1 + 3} = \frac{-12}{4}$

3. Simplify the fraction:

   $\frac{-12}{4} = -3$

Final Answer:

The slope of the line is $-3$.

Would you like further clarification or additional examples?

Related Questions:

1. What does a negative slope indicate about a line's direction?
2. How can you determine the slope of a line given its equation in slope-intercept form?
3. What is the slope of a horizontal line?
4. How do you find the slope of a line perpendicular to a given line?
5. What are the steps to find the slope if you have two points on the line?

Tip:

Remember, a positive slope means the line rises to the right, while a negative slope means the line falls to the right.