Answer:
![(1)/(4)](https://img.qammunity.org/2023/formulas/mathematics/college/nvzx4jpqhp8fdgb8f5vgtifqq8ndmxgctx.png)
Explanation:
To find the gradient of the graph, we use the formula,
![gradient \: (m) = ((y2 - y1))/((x2 - x1))](https://img.qammunity.org/2023/formulas/mathematics/college/b75td5cvoc5twzlptiwl2ye7f6vkcjsbgt.png)
From the graph, we obtain values for x and y
x1 = 4, x2 = 8
y1 = 2, y2 = 3
Substitute the values into our formula.
![m \: = ((3 - 2))/((8 - 4)) \\ = (1)/(4)](https://img.qammunity.org/2023/formulas/mathematics/college/2eirl01ddt7t25vjh647hqhvfs2o40kxkf.png)
Therefore, the gradient, m, =
![(1)/(4)](https://img.qammunity.org/2023/formulas/mathematics/college/nvzx4jpqhp8fdgb8f5vgtifqq8ndmxgctx.png)
Note:-
- Use the above formula when determining the gradient of the graph.
- Obtain the values of x and y then subtract [∆y] and [∆x].
- Divide the two