https://file.aiquickdraw.com/mathbot/file/1725233983665ik7850w4.jpg

To solve the problem, we need to find the gradient of the line shown in the graph. The gradient (or slope) is calculated by the formula:

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

In this case:
- The \( y \)-axis represents the "Distance (meters)".
- The \( x \)-axis represents the "Time (seconds)".

Looking at the graph:
- The line starts at the point (0, 12) and ends at the point (5, 0).

Now, we calculate the gradient:

\[
\text{Gradient} = \frac{0 - 12}{5 - 0} = \frac{-12}{5} = -2.4
\]

So, the gradient of the line is **-2.4**.

### Do you want more details or have any questions?

Here are 5 related questions to expand your understanding:
1. What does a negative gradient indicate about the motion of the object?
2. How would the graph change if the object were moving faster?
3. How can you find the y-intercept of a line from its equation?
4. What does the area under the line represent in this context?
5. How would the gradient change if the object started further away?

**Tip:** The steeper the line, the larger the magnitude of the gradient, indicating a faster change in the variable represented on the y-axis.

Learn how to calculate the gradient of a line using the Δy / Δx formula with a step-by-step guide. This problem involves finding the slope of a line on a graph, understanding coordinate geometry concepts, and applying mathematical formulas. Suitable for high school students.

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