To find the gradient (slope) of the blue line from the image, we can use the formula for the gradient:

$m = \frac{{\text{change in } y}}{{\text{change in } x}} = \frac{{y_2 - y_1}}{{x_2 - x_1}}$

From the image, the blue line appears to pass through the following two points:

• Point 1: $(0, 0)$
• Point 2: $(3, 2)$

Using these points:

$m = \frac{2 - 0}{3 - 0} = \frac{2}{3}$

Thus, the gradient of the blue line is $\frac{2}{3}$.

Would you like further explanation or details?

Here are 5 related questions to expand your understanding:

1. How do you calculate the gradient of a vertical line?
2. What does a negative gradient indicate about a line's direction?
3. How can you calculate the equation of a line if you know the gradient and a point?
4. How does the gradient relate to parallel and perpendicular lines?
5. Can you find the gradient between two points if they are given as fractions?

Tip: Always choose clear points on the grid when calculating the gradient, preferably those where the line crosses exact coordinates (integer values).