https://file.aiquickdraw.com/mathbot/file/1727418163733jaxew0pb.jpg

To find the gradient (or slope) of the blue line in the graph, we can use the formula for the gradient between two points:

\[
\text{Gradient (m)} = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}
\]

### From the graph:
- The blue line passes through the points (0, 2) and (2, 0).

Substituting these points into the formula:

\[
\text{Gradient} = \frac{0 - 2}{2 - 0} = \frac{-2}{2} = -1
\]

So, the gradient of the blue line is **-1**.

Would you like more details or have any questions?

Here are five related questions to explore further:
1. How would the graph change if the gradient were positive?
2. What is the equation of the line given its gradient and intercept?
3. How do you calculate the gradient if the line is vertical?
4. Can you find the gradient of a horizontal line? What is its value?
5. How does the gradient relate to the steepness of the line?

**Tip:** The gradient tells you how steep a line is and in which direction it slopes. A negative gradient means the line slopes downwards from left to right.

Learn how to find the gradient of a line with a detailed step-by-step solution. This example demonstrates how to calculate the slope between two points, (0, 2) and (2, 0), using the gradient formula. Perfect for students in Grades 7-9.

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