https://file.aiquickdraw.com/mathbot/file/1723593782287zc6bmu8p.jpg

To find the gradient of the line in the image, we will again use the formula:

\[
\text{Gradient} = \frac{\text{Change in } y}{\text{Change in } x}
\]

Let's identify two points on the line. Based on the image:

- The line passes through the point \((-3, -1)\).
- It also passes through the point \((1, 2)\).

Now, calculate the gradient:

1. The change in \(y\) (\(\Delta y\)) is \(2 - (-1) = 2 + 1 = 3\).
2. The change in \(x\) (\(\Delta x\)) is \(1 - (-3) = 1 + 3 = 4\).

So the gradient is:

\[
\text{Gradient} = \frac{3}{4} = 0.75
\]

The gradient of the line is \(0.75\).

Would you like more details or have any questions? Here are some related topics you might find helpful:

1. What does a gradient of \(0.75\) imply about the steepness of the line?
2. How can you use the gradient to write the equation of the line?
3. What would the gradient be if the line was vertical?
4. How does the gradient relate to the rise and run of a line?
5. Can you determine the gradient if only one point is known?
6. How would you find the y-intercept using the gradient and a point on the line?
7. What happens to the gradient if the line is reflected over the y-axis?
8. How can the concept of gradient be applied in real-life situations?

**Tip:** When the gradient is a fraction less than 1, it indicates that the line is relatively flat, rising slowly as it moves from left to right.

Explore how to calculate the gradient of a line using the formula Gradient = Change in y / Change in x. This detailed explanation includes step-by-step calculations based on specific points on the line (-3, -1) and (1, 2). Suitable for Grades 7-9.

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