Let's find the slopes of each line from the graphs in the image.

Left graph:

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

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

From the left graph:

• One point appears to be at $(0, 4)$
• Another point appears to be at $(4, 0)$

Now, calculate the slope:

$m = \frac{{0 - 4}}{{4 - 0}} = \frac{{-4}}{{4}} = -1$

So, the slope of the line on the left graph is -1.

Right graph:

Using the same formula for the slope, let's pick two points:

• One point is at $(1, -3)$
• Another point is at $(4, 3)$

Now, calculate the slope:

$m = \frac{{3 - (-3)}}{{4 - 1}} = \frac{{6}}{{3}} = 2$

So, the slope of the line on the right graph is 2.

Would you like more details on how to calculate slopes or have any other questions?

Here are five related questions to think about:

1. How does changing two points on the line affect the slope?
2. What does a slope of 0 indicate about a line?
3. How can you recognize positive vs. negative slopes from a graph?
4. How does the slope formula change if the x-coordinates are negative?
5. What is the relationship between slope and the steepness of a line?

Tip:

Remember, the sign of the slope determines the direction of the line: negative slopes go downwards from left to right, while positive slopes go upwards.