To find the gradient (slope) of the straight line from point A to point G, we need to use the formula for the gradient of a line between two points:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where $(x_1, y_1)$ and $(x_2, y_2)$ are the coordinates of points A and G respectively.

Let's first extract the coordinates of points A and G from the grid.

• From the image, I can observe the coordinates of points A and G.
• Point A seems to be at coordinates (0, 3).
• Point G seems to be at coordinates (5, 0).

Now, substituting these coordinates into the gradient formula:

$m = \frac{0 - 3}{5 - 0} = \frac{-3}{5}$

Therefore, the gradient of the line from A to G is $m = -\frac{3}{5}$.

Would you like further clarification on the process, or do you have any other related questions? Here are some further questions you could explore:

1. How do you find the gradient between two points on a line?
2. What are the conditions for a line to be parallel or perpendicular to another?
3. How would the gradient change if the coordinates of the points were different?
4. What is the relationship between the gradient and the angle of a line?
5. How do you calculate the gradient from the slope-intercept form of a line?

Tip: When calculating gradients on a grid, always pay attention to the grid scale and ensure the points are accurately plotted!