Respuesta :

Answer: The gradient is [tex]\boxed{\sf 1}[/tex]

Explanation:

[tex]\sf gradient: \dfrac{y_2 - y_1}{x_2- x_1} \ \quad where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

Here given points: (2, 4), (4, 6)

[tex]\rightarrow \sf gradient: \dfrac{6-4}{4-2} = \dfrac{2}{2} = 1[/tex]

Step-by-step explanation:

that is also called the slope or inclination or change rate.

that is the ratio of y change / x change.

when going from point 1 to point 2 (the sequence is not important, but once you picked one you need to use it for x and y), we see

x changes by +2 (from 2 to 4).

y changes by +2 (from 4 to 6).

so it is +2/+2 = 2/2 = 1/1 = 1