https://file.aiquickdraw.com/mathbot/file/17266676370575qr63bbj.jpg

To find the gradient (slope) of the line, we use the formula:

\[
\text{slope} (m) = \frac{\Delta y}{\Delta x} = \frac{\text{change in } y}{\text{change in } x}
\]

From the graph, we can identify two points on the line to calculate the change in \( y \) and \( x \).

- Point 1: \( (0, 2) \) (where the line crosses the y-axis)
- Point 2: \( (2, 6) \)

Now, calculate the changes:
\[
\Delta y = 6 - 2 = 4
\]
\[
\Delta x = 2 - 0 = 2
\]

Thus, the gradient is:
\[
m = \frac{4}{2} = 2
\]

So, the gradient of the line is **2**.

Would you like more details or have any questions? Here are five related questions to expand on this concept:

1. What does the gradient represent in terms of real-world applications?
2. How would the equation of the line look in slope-intercept form?
3. What happens to the gradient if the line becomes horizontal or vertical?
4. How can you determine the gradient if the points are not clear from a graph?
5. What is the difference between positive and negative gradients?

**Tip:** The steeper the line, the larger the absolute value of the gradient.

What is the gradient of the line shown below? Give your answer as an integer or as a fraction in its simplest form.

Learn how to find the gradient of a line from a graph with an example. Identify key points and apply the formula (change in y)/(change in x) for calculating the slope. Perfect for Grades 7-9 math students.

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