Let's start by explaining how to find the slope of a line from a graph. The slope $m$ is given by the formula:

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

This means we count how many units the line rises (up or down) and how many units it runs (left or right).

Let's solve each of the problems in the image step by step:

1) Slope of the first line:

• From the graph, the line moves down 2 units (rise = -2) and runs 3 units to the right (run = 3).
• So, the slope is: $m = \frac{-2}{3}$

2) Slope of the second line:

• This line rises 2 units (rise = 2) and runs 2 units to the right (run = 2).
• So, the slope is: $m = \frac{2}{2} = 1$

3) Slope of the third line:

• This line moves down 3 units (rise = -3) and runs 3 units to the right (run = 3).
• So, the slope is: $m = \frac{-3}{3} = -1$

4) Slope of the fourth line:

• The line rises 4 units (rise = 4) and runs 4 units to the right (run = 4).
• So, the slope is: $m = \frac{4}{4} = 1$

Let me know if you'd like any further clarification on these steps or have additional questions! Here are some related questions to dive deeper:

1. How can you tell if a slope is positive or negative from a graph?
2. What is the slope of a vertical line?
3. How does the slope relate to the equation of a line $y = mx + b$?
4. What happens to the slope when a line is perfectly horizontal?
5. How do you calculate the slope from two given points?

Tip: Always double-check that you're counting the rise (up/down) and run (left/right) correctly from the graph for accurate slope calculation.