To solve this problem, we need to determine the slopes of each line and arrange them in descending order. The slope, $m$, affects the steepness of each line, with larger values of $m$ resulting in a steeper line.

Here's a breakdown of the lines:

1. Blue Line: It has the steepest positive slope, as it rises the most sharply in the upward direction. Therefore, $m_2$ has the largest positive slope.

2. Red Line: This line is less steep than the blue line but still has a positive slope, making $m_1$ the second-largest positive slope.

3. Green Line: This line slopes downward, making it negative, but it’s not as steeply negative as the pink line. Therefore, $m_3$ is less negative.

4. Pink Line: It has the steepest negative slope, descending sharply. So, $m_4$ has the largest negative slope.

Arranging from largest to smallest:

1. $m_2$ (Blue line - steepest positive)
2. $m_1$ (Red line - less steep positive)
3. $m_3$ (Green line - less steep negative)
4. $m_4$ (Pink line - steepest negative)

Correct Answer:

The order from largest to smallest slope is: $m_2, m_1, m_3, m_4$.

So, the correct option is:

• $m_2, m_1, m_3, m_4$ (second option).

Would you like more details, or do you have any questions?

Related Questions:

1. How do positive and negative slopes affect the direction of a line?
2. How can we find the slope of a line given two points on it?
3. What is the significance of the $y$-intercept in these equations?
4. How would a zero slope look on a graph?
5. How can we compare the steepness of two lines visually?

Tip:

When comparing slopes visually, positive slopes go upward to the right, while negative slopes go downward to the right. The steepness is directly related to the absolute value of the slope.