To calculate the gradient of the line, we use the formula for the gradient:

$\text{Gradient} = \frac{\text{Change in } y}{\text{Change in } x}$

From the graph:

• The $y$-axis represents "Height (mm)".
• The $x$-axis represents "Temperature ($^\circ$C)".

Step 1: Identify two points on the line.

From the graph:

• The line passes through $(0, 5)$ and $(4, 20)$.

Step 2: Calculate the changes in $y$ and $x$.

$\Delta y = 20 - 5 = 15 \quad \text{(Change in Height)}$ $\Delta x = 4 - 0 = 4 \quad \text{(Change in Temperature)}$

Step 3: Compute the gradient.

$\text{Gradient} = \frac{\Delta y}{\Delta x} = \frac{15}{4} = 3.75$

Final Answer:

The gradient of the line is 3.8 (to 1 decimal place).

Would you like a breakdown of why we calculate gradients this way, or how it applies in real-world scenarios? Let me know!

Related Questions:

1. What does the gradient of a line represent in practical contexts?
2. How do we interpret a positive versus a negative gradient?
3. How would the gradient change if the line were steeper or flatter?
4. Could the gradient of this graph represent a rate of growth? Why or why not?
5. How can you determine a gradient from an equation of a line (e.g., $y = mx + c$)?

Tip:

Always check the units on both axes when calculating gradients—they tell you the context of the rate of change!