To determine the gradient (or slope) of the line shown in the image, we can use the formula for the gradient between two points on a line:

$\text{Gradient} = \frac{\text{Change in } y}{\text{Change in } x} = \frac{y_2 - y_1}{x_2 - x_1}$

Let’s identify two points on the line from the graph:

• The line appears to pass through the point $(0, 4)$ (on the y-axis) and another point at $(4, 0)$ (on the x-axis).

Now, applying the gradient formula:

$\text{Gradient} = \frac{0 - 4}{4 - 0} = \frac{-4}{4} = -1$

Thus, the gradient of the line is -1.

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

Here are some related questions:

1. How does the sign of the gradient affect the direction of the line?
2. What does a gradient of 0 mean in a line?
3. How would the gradient change if the slope were steeper?
4. Can you explain how to find the equation of a line given its gradient and a point?
5. How is the gradient related to real-world slopes or inclines?

Tip: The gradient indicates the steepness of a line. A negative gradient means the line slopes downward as you move from left to right.