Let's analyze the graph from the image to solve the question.

The line appears to cross the y-axis at the point (0, -4) and another point on the line is (4, 2).

Step 1: Understanding Rise and Run

• Rise: The vertical change between the two points.
• Run: The horizontal change between the two points.

Between the points (0, -4) and (4, 2):

• The rise (vertical change) is: $2 - (-4) = 6$
• The run (horizontal change) is: $4 - 0 = 4$

Step 2: Calculating the Slope

The slope $m$ is given by:

$m = \frac{\text{rise}}{\text{run}} = \frac{6}{4}$

Simplifying the fraction:

$m = \frac{3}{2}$

Thus, the slope of the line in its simplest form is 3/2.

Would you like further details or have any questions about this solution?

5 Related Questions:

1. How do you calculate the slope if the line passes through negative coordinates?
2. What is the equation of the line that passes through the points (0, -4) and (4, 2)?
3. How can you determine if a line is increasing or decreasing based on its slope?
4. What happens to the slope of a line if the "rise" or "run" is negative?
5. How does the slope of a horizontal line compare to the slope of a vertical line?

Tip:

When calculating the slope, always remember that if the rise or run is negative, the slope will be negative, indicating a downward-sloping line.