Respuesta :

Answer:

[tex] \frac{1}{4} [/tex]

Step-by-step explanation:

To find the gradient of the graph, we use the formula,

[tex]gradient \: (m) = \frac{(y2 - y1)}{(x2 - x1)} [/tex]

From the graph, we obtain values for x and y

x1 = 4, x2 = 8

y1 = 2, y2 = 3

Substitute the values into our formula.

[tex]m \: = \frac{(3 - 2)}{(8 - 4)} \\ = \frac{1}{4} [/tex]

Therefore, the gradient, m, =

[tex] \frac{1}{4} [/tex]

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