To determine the gradient (or slope) of the straight line shown in the graph, we can use the formula for the gradient of a line:

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

From the graph, we can identify two points that the line passes through:

• One point is $(-5, -4)$
• Another point is $(0, 1)$

Now, calculate the change in $y$ and $x$ between these two points: $\Delta y = 1 - (-4) = 5$ $\Delta x = 0 - (-5) = 5$

Thus, the gradient is: $\text{Gradient} = \frac{5}{5} = 1$

So, the gradient of the straight line is 1.

Would you like a more detailed explanation or have any other questions?

Here are 5 related questions to explore this further:

1. How do you find the equation of a straight line given its gradient and one point?
2. What is the significance of the gradient in a real-world context?
3. How does the gradient of a line relate to parallel and perpendicular lines?
4. Can you find the gradient from any two points on a line, and does it always yield the same result?
5. What happens to the graph if the gradient of the line is negative?

Tip: The gradient is a measure of how steep the line is. A positive gradient means the line slopes upward, while a negative gradient means it slopes downward.